controllability for systems governed by semilinear differential inclusions in a banach space with a noncompact semigroup abstract we study the controllability problem for a system governed by a semilinear differential inclusion in a banach space not assuming that the semigroup generated by the linear part of inclusion is compact instead we suppose that the multivalued nonlinearity satisfies the regularity condition expressed in terms of the hausdorff measure of noncompactness it allows us to apply the topological degree theory for condensing operators and to obtain the controllability results for both upper caratheodory and almost lower semicontinuous types of nonlinearity as application we consider the controllability for a system governed by a perturbed wave equation

asymptotically almost periodic solutions for abstract neutral integro differential equations we study the existence of asymptotically almost periodic classical solutions for a class of abstract neutral integro differential equation with unbounded delay a concrete application to partial neutral integro differential equations which arise in the study of heat conduction in fading memory material is considered

geometric analysis of impulse controllability for descriptor system for descriptor linear system this paper presents three new concepts impulsive direction controllability of impulsive direction and order of impulsive direction controllability at infinity is proved to be equivalent to the controllability of impulsive directions of zero order which guarantees the controllability of impulsive directions of any order unlike what one expects the controllability of impulsive free response modes does not guarantee impulse controllability

controllability for neutral stochastic functional differential inclusions with infinite delay in abstract space abstract in this paper sufficient conditions are given for the controllability of a class of partial stochastic functional differential inclusions with infinite delay in an abstract space with the help of the leray schauder nonlinear alternative an example is provided to illustrate the theory

existence results for semilinear differential equations with nonlocal and impulsive conditions abstract this paper is concerned with the existence for impulsive semilinear differential equations with nonlocal conditions using the techniques of approximate solutions and fixed point existence results are obtained for mild solutions when the impulsive functions are only continuous and the nonlocal item is lipschitz in the space of piecewise continuous functions is not lipschitz and not compact is continuous in the space of bochner integrable functions respectively

controllability of impulsive neutral stochastic functional differential inclusions with infinite delay this paper deals with the controllability of a class of impulsive neutral stochastic functional differential inclusions with infinite delay in an abstract space sufficient conditions for the controllability are derived with the help of the fixed point theorem for discontinuous multi valued operators due to dhage an example is provided to illustrate the obtained theory

existence of solutions for impulsive partial neutral functional differential equations this paper is concerned with partial neutral functional differential equations of first and second order with impulses we establish some results of existence of mild solutions for these classes of equations

measure solutions for evolution equations with discontinuous vector fields and their optimal control abstract in this paper we present a brief survey of some recent developments of impulsive dynamic systems in infinite dimensional banach spaces regular as well as measure solutions are discussed including some comments on optimal control

existence results for abstract impulsive second order neutral functional differential equations abstract we establish the existence of mild solutions for a class of impulsive second order partial neutral functional differential equations with infinite delay in a banach space

existence of global solutions for second order impulsive abstract partial differential equations abstract in this paper we study the existence of global solutions for a class of second order impulsive abstract functional differential equations the results are obtained by using leray schauder s alternative fixed point theorem an application is provided to illustrate the theory

almost periodic evolution systems with impulse action at state dependent moments abstract we study the existence of almost periodic solutions for semi linear abstract parabolic evolution equations with impulse action at state dependent moments in particular we present conditions excluding the beating phenomenon in these systems the main result is illustrated with an example of impulsive diffusive logistic equation

existence results of impulsive partial neutral integrodifferential inclusions with infinity delay abstract this paper investigates a class of impulsive partial neutral functional integrodifferential inclusions with infinite delay in banach spaces the existence of mild solutions of these inclusions is determined under the mixed lipschitz and caratheodory conditions by using another nonlinear alternative of leray schauder type for multivalued maps due to d o regan

technical communique reachability analysis of constrained switched linear systems in this note we investigate the reachability of switched linear systems with switching input constraints we prove that under a mild assumption of the feasible switching signals the reachability set is the reachable subspace of the unconstrained system we also address the local reachability for switched linear systems with input constraints and present a complete criterion for a general class of switched linear systems

classification of travelling waves in the fornberg whitham equation abstract in this paper the fornberg whitham fw equation is investigated by using the improved qualitative method which combines characteristics of several methods to solve equations we classify all travelling wave solutions of this equation in specified regions of the parametric space besides already known solutions such as peaked and kink like wave solutions this equation also admits looped and cusped wave solutions especially some composite waves including fractal like waves and stumpons what is more interesting is that we give the limit behavior of all periodic solutions as the parameters trend to some special values

switching stabilizability for continuous time uncertain switched linear systems this paper investigates the switching stabilizability problem for a class of continuous time switched linear systems with time variant parametric uncertainties first a necessary and sufficient condition for the asymptotic stabilizability of such uncertain switched linear system is derived under the assumption that the closed loop switched system does not generate sliding motions then an additional condition is introduced to exclude the possibility of unstable sliding motions finally a necessary and sufficient for the asymptotic stabilizability of such continuous time uncertain switched linear systems is presented this result improves upon conditions found in the literature which are either sufficient only or necessary only

boundary controllability of differential equations with nonlocal condition for a semilinear boundary control system with a nonlocal condition using a banach fixed point theorem we prove the boundary controllable and we give an application

on stability l2 gain and h control for switched systems this paper addresses the issues of stability l 2 gain analysis and h control for switched systems via multiple lyapunov function methods a concept of general lyapunov like functions is presented a necessary and sufficient condition for stability of switched systems is given in terms of multiple generalized lyapunov like functions which enables derivation of improved stability tests an l 2 gain characterization and a design method for stabilizing switching laws a solution to the h control problem for switched systems is also provided

integral inequalities and mild solutions of semilinear neutral evolution equations abstract existence of mild solutions to semilinear neutral evolution equations with nonlocal conditions is proved the result is obtained by using fractional power of operators krasnoselski schaefer type fixed point theorem and by applying a modification of the bihari type inequality to the case of singular integral inequality an application to partial differential equations is given

necessary and sufficient conditions for controllability and observability of switched impulsive control systems many practical systems in physics biology engineering and information science exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynamical processes this note first introduces the impulsive behavior into switched linear systems and studies the controllability and observability of such systems necessary and sufficient criteria for reachability and controllability are established it is proved that reachability is equivalent to controllability for such systems then necessary and sufficient criteria for observability and determinability of such systems are established by duality it is also proved that observability is equivalent to determinability our criteria are of geometric type they can be transformed into algebraic form conveniently finally a numerical example is given to illustrate the utility of our criteria

towered waves and anti waves in the generalized degasperis procesi equation new traveling wave solutions of the generalized degasperis procesi equation are investigated the solutions are characterized by three parameters using an improved qualitative method abundant traveling wave solutions such as smooth waves peaked waves cusped waves compacted waves looped waves and fractal like waves are obtained especially some strange composite wave solutions such as towered waves and their anti waves are first given we also study the limiting behavior of all periodic solutions as the parameters trend to some special values

stability of peakons and linear dispersion limit for the periodic dullin gottwald holm equation the dullin gottwald holm equation can be described as the unidirectional propagation of surface waves in a shallow water regime in this paper we study the orbital stability problem of the peaked solitons peakons for the periodic dullin gottwald holm equation on the line by constructing a function only depending on three important conservative laws we prove that the shapes of peakons are stable under small perturbations we also demonstrate that the solutions of the cauchy problem for this equation converge to those of the corresponding periodic camassa holm equation as the linear dispersive parameter converges to zero

approximate controllability of second order distributed implicit functional systems abstract in this paper we study the approximate controllability of control systems with states and controls in hilbert spaces and described by a second order semilinear abstract functional differential equation with infinite delay initially we establish a characterization for the approximate controllability of a second order abstract linear system and in the last section we compare the approximate controllability of a semilinear abstract functional system with the approximate controllability of the associated linear system

existence and controllability results for impulsive partial functional differential inclusions abstract in this paper we prove the existence and the controllability of mild and extremal mild solutions for first order semilinear densely defined impulsive functional differential inclusions in separable banach spaces with local and nonlocal conditions

existence of nondensely defined evolution equations with nonlocal conditions abstract this paper is concerned with the existence for nondensely defined evolution equations with nonlocal conditions using the techniques of fixed point theory and approximate solutions existence results are obtained for integral solutions when the nonlocal item is lipschitz continuous or continuous respectively examples are also given to illustrate our results

existence of periodic solutions of partial neutral functional differential equations with unbounded delay abstract in this article we establish a result of existence of periodic solutions for the class of quasi linear partial neutral functional differential equations with unbounded delay that can be described as the abstract functional differential equation d dt x t f t x t ax t g t x t where a is the infinitesimal generator of a strongly continuous semigroup of linear operators on a banach space and f and g are appropriate functions defined on a phase space

a unified existence theory for evolution equations and systems under nonlocal conditions abstract we investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional differential equations in a banach space a progressive transition from the volterra integral operator associated to the cauchy problem to fredholm type operators appears when the support of the nonlocal condition increases from zero to the entire interval of the problem the results are extended to systems of equations in a such way that the system nonlinearities behave independently as much as possible and the support of the nonlocal condition may differ from one variable to another

null controllability for a semilinear parabolic equation with gradient quadratic growth abstract this article is concerned with the null controllability of a semilinear parabolic equation with the nonlinear term involving the gradient quadratic term the technique in this paper is a combination of cole hopf transformation and some methods from a y khapalov controllability of the semilinear parabolic equation governed by a multiplicative control in the reaction term a qualitative approach siam j control optim 41 2003 1886 1900

global existence for semilinear evolution equations with nonlocal conditions abstract in this paper we study the global existence of solutions for semilinear evolution equations with nonlocal conditions via a fixed point analysis approach using the leray schauder alternative we derive conditions under which a solution exists globally

existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators in this paper by using the leray schauder alternative we have investigated the existence of mild solutions to first order impulsive partial functional integrodifferential equations with nonlocal conditions in an a norm we assume that the linear part generates an analytic compact bounded semigroup and that the nonlinear part is a lipschitz continuous function with respect to the fractional power norm of the linear part an example is also given to illustrate our main results

existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions abstract in this paper we shall establish sufficient conditions for the existence of integral solutions and extremal integral solutions for some nondensely defined impulsive semilinear functional differential inclusions in separable banach spaces we shall rely on a fixed point theorem for the sum of completely continuous and contraction operators the question of controllability of these equations and the topological structure of the solutions set are considered too

approximate controllability of evolution systems with nonlocal conditions we study the approximate controllability for the abstract evolution equations with nonlocal conditions in hilbert spaces assuming the approximate controllability of the corresponding linearized equation we obtain sufficient conditions for the approximate controllability of the semilinear evolution equation the results we obtained are a generalization and continuation of the recent results on this issue at the end an example is given to show the application of our result

noncommuting multidimensional realization theory minimality reachability and observability a generalization of the notions of minimality reachability and observability for parameter dependent and multidimensional systems modeled by linear fractional transformations over noncommuting operators is presented the multidimensional system results developed herein are formally similar to and directly specialize to the standard results when one dimensional systems are considered

existence of solutions for impulsive partial neutral functional differential equation with infinite delay abstract in this paper the existence of mild solutions for first order impulsive semilinear neutral functional differential equations with infinite delay in banach spaces is investigated we derive conditions in respect of the hausdorff measure of noncompactness under which the mild solutions exist in banach spaces our results improve and generalize some previous results

existence results for partial neutral functional differential equations with unbounded delay abstract we prove the existence of mild solutions for a partial neutral functional integrodifferential equation with unbounded delay using the leray schauder alternative

on the well posedness problem and the scattering problem for the dullin gottwald holm equation in this paper we study the well posedness of the cauchy problem and the scattering problem for a new nonlinear dispersive shallow water wave equation the so called dgh equation which was derived by dullin gottwald and holm the issue of passing to the limit as the dispersive parameter tends to zero for the solution of the dgh equation is investigated and the convergence of solutions to the dgh equation as 2 0 is studied and the scattering data of the scattering problem for the equation can be explicitly expressed the new exact peaked solitary wave solutions are obtained in the dgh equation after giving the condition of existing peakon in the dgh equation it turns out to be nonlinearly stable for the peakon in the dgh equation

brief paper reachability and observability of linear impulsive systems linear impulsive systems constitute a class of hybrid systems in which the state propagates according to linear continuous time dynamics except for a countable set of times at which the state can change instantaneously while in general these impulsive effects can be time driven and or event driven here we focus our attention on the time driven case for this class of systems we address the fundamental concepts of reachability and observability in particular we present a geometric characterization of the reachable and unobservable sets in terms of invariant subspaces and provide algorithms for their construction

global solutions for impulsive abstract partial differential equations in this paper we study the existence of global solutions for a class of impulsive abstract functional differential equation an application involving a parabolic system with impulses is considered

a geometric approach for reachability and observability of linear switched impulsive systems abstract this paper is concerned with the reachability and observability of linear switched impulsive systems with singular impulse matrices first some new concepts with respect to the reachability and unobservability are introduced especially span reachability is proposed because the reachable sets of switched impulsive systems do not always constitute subspaces then the geometric characterization of the span reachable and unobservable sets is presented moreover the relations between the span reachable set unobservable set and the invariant subspaces of such systems are discussed finally corresponding criteria applied to linear impulsive systems and linear switched systems are also discussed

stability and l2 gain analysis for switched delay systems a delay dependent method in this paper we study stability and l 2 gain for a class of switched systems with time varying delays sufficient conditions for exponential stability and weighted l 2 gain are developed for a class of switching signals with average dwell time these conditions are delay dependent and are given in the form of linear matrix inequalities lmis as a special case of such switching signals we can obtain exponential stability and normal l 2 gain under arbitrary switching signals the state decay estimate is explicitly given two examples illustrate the effectiveness and applicability of the proposed method

reachability of linear switched systems differential geometric approach the paper investigates the structure of the reachable set of linear switched systems the structure of the reachable set is determined using techniques from classical nonlinear systems theory namely the theory of orbits developed by h sussman and the realization theory for nonlinear systems developed by b jakubczyk

less conservative conditions for asymptotic stability of impulsive control systems this note studies the stability of impulsive control systems a new comparison theorem for asymptotic stability of impulsive differential system is presented based on the new result we derive some less conservative conditions for asymptotic stability of impulsive control systems with impulses at fixed times and the results are used to design impulsive control for a class of nonlinear systems the class of nonlinear systems considered is also enlarged

controllability of semilinear boundary problems with nonlocal initial conditions the main purpose of this paper is the existence of solutions and controllability for semilinear boundary problems with nonlocal initial conditions we show that the solutions are given by a variation of constants formula which allows us to study the exact controllability for this kind of problems with control and nonlinear terms at the boundary the included application to a size structured population equation provides a motivation for abstract results

global solutions for abstract impulsive differential equations abstract in this paper we study the existence of solutions on the whole of r for a class of impulsive abstract differential equations an application to partial differential equations is presented

nonlocal nonlinear differential equations with a measure of noncompactness in banach spaces abstract in this paper we give the existence of integral solutions for nonlinear differential equations with nonlocal initial conditions under the assumptions of the hausdorff measure of noncompactness in separable and uniformly smooth banach spaces

existence of mild solutions on noncompact intervals to second order initial value problems for a class of differential inclusions with nonlocal conditions abstract in this paper we investigate the existence of mild solutions on an unbounded real interval to second order initial value problems for a class of differential inclusions with nonlocal conditions we shall rely on a theorem of ma which is an extension to multivalued maps on locally convex topological spaces of schaefer s theorem

nonlinear impulsive systems on infinite dimensional spaces abstract in this paper we consider two different classes of nonlinear impulsive systems one driven purely by dirac measures at a fixed set of points and the second driven by signed measures the later class is easily extended to systems driven by general vector measures the principal nonlinear operator is monotone hemicontinuous and coercive with respect to certain triple of banach spaces called gelfand triple the other nonlinear operators are more regular non monotone continuous operators with respect to suitable banach spaces we present here a new result on compact embedding of the space of vector valued functions of bounded variation and then use this result to prove two new results on existence and regularity properties of solutions for impulsive systems described above the new embedding result covers the well known embedding result due to aubin

asymptotic stability of differential systems with impulsive effects suffered by logic choice in this paper we investigate the asymptotic stability of differential systems with impulsive effects suffered by logic choice first we give the expression of system with logic selected impulsive effects which is a hybrid system second by using semi tensor product a criterion of asymptotic stability for the system is provided third we study the linearly coupled system with impulsive effects under logic choice and give a sufficient condition for asymptotic stability finally a numerical simulation is given to illustrate the effectiveness of our results

on controllability of second order nonlinear impulsive differential systems abstract many dynamical systems in physics chemistry biology and engineering sciences have impulsive dynamical behaviors due to abrupt jumps at certain instants during the dynamical processes the mathematical models of such processes are called differential systems with impulse effect this paper studies the exact controllability issue of certain types of second order nonlinear impulsive control differential systems sufficient conditions are formulated and proved for the exact controllability of such systems without imposing a compactness condition on the cosine family of operators we establish controllability results by using a fixed point analysis approach finally an example is presented to illustrate the utility of the proposed result the results improve some recent results

controllability of evolution differential inclusions in banach spaces abstract in this paper we consider the controllability of a certain class of evolution differential inclusions in banach spaces a sufficient condition is established by using a recent fixed point theorem for multi valued maps due to dhage combined with an evolution system an example is also given to illustrate our result

nondensely defined evolution impulsive differential inclusions with nonlocal conditions in this paper we shall establish sufficient conditions for the existence of integral solutions for some nondensely defined evolution impulsive differential inclusions in banach spaces with nonlocal conditions

solution bundle for a class of impulsive differential inclusions on banach spaces in this paper a class of impulsive differential inclusions is investigated the existence of solution bundle is proved and we also construct a nonlinear semigroup of operators on cb e closed bounded subset of e to describe the set of attainable states

population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population the dynamics of a population whose mathematical model is the equation of verhulst is considered from the population by discrete external effects in the form of impulses a certain quantity of biomass is taken away or added this process is described by means of differential equations with impulses at fixed moments the moments and the magnitudes of the impulses are determined so that the time of regeneration of the quantity of biomass taken away from the population be minimal

controllability of evolution inclusions with nonlocal conditions in this paper we examine controllability problems of evolution inclusions with nonlocal conditions using kakutani s fixed point theorem and schauder s fixed point theorem we establish sufficient conditions for the controllability under convex and nonconvex orientor fields respectively

chip chip data model and analysis summary chip chip or chip on chip is a technology for isolation and identification of genomic sites occupied by specific dna binding proteins in living cells the chip chip signals can be obtained over the whole genome by tiling arrays where a peak shape is generally observed around a protein binding site in this article we describe the chip chip process and present a probability model for chip chip data we then propose a model based method for recognizing the peak shapes for the purpose of detecting protein binding sites we also investigate the issue of bandwidth in nonparametric kernel smoothing method

the solution sets for second order semilinear impulsive multivalued boundary value problems a second order semilinear differential inclusion with some boundary continuous and impulse characteristics in a separable banach space is considered some existence theorems for mild solutions are given when the multivalued nonlinearity of the inclusion is only a locally integrably bounded upper caratheodory map with convex and weakly compact values then the compactness of the set of all mild solutions for the problem is proved the results are obtained by using the theory of continuous cosine families of bounded linear operators and a fixed point theorem for multivalued maps due to agarwal meehan and o regan a corresponding result for closed graph of composition is extended

impulsive problems for semilinear differential equations with nonlocal conditions abstract this paper is concerned with the existence of impulsive semilinear differential equations with nonlocal conditions using the technique of fixed point theory existence results are obtained for mild solutions when the nonlocal item is lipschitz is not lipschitz and not compact respectively

the control of the false discovery rate in multiple testing under dependency benjamini and hochberg suggest that the false discovery rate may be the appropriate error rate to control in many applied multiple testing problems a simple procedure was given there as an fdr controlling procedure for independent test statistics and was shown to be much more powerful than comparable procedures which control the traditional familywise error rate we prove that this same procedure also controls the false discovery rate when the test statistics have positive regression dependency on each of the test statistics corresponding to the true null hypotheses this condition for positive dependency is general enough to cover many problems of practical interest including the comparisons of many treatments with a single control multivariate normal test statistics with positive correlation matrix and multivariate t furthermore the test statistics may be discrete and the tested hypotheses composite without posing special difficulties for all other forms of dependency a simple conservative modification of the procedure controls the false discovery rate thus the range of problems for which a procedure with proven fdr control can be offered is greatly increased 1 1 simultaneous hypotheses testing the control of the increased type i error when testing simultaneously a family of hypotheses is a central issue in the area of multiple comparisons rarely are we interested only in whether all hypotheses are jointly true or not which is the test of the intersection null hypothesis in most applications we infer about the individual hypotheses realizing that some of the tested hypotheses are usually true we hope not all and some are not we wish to decide which ones are not true indicating statistical discoveries an important such problem is that of multiple endpoints in a clinical trial a new treatment is compared with an existing one in terms of a large number of potential benefits endpoints

existence of solutions for semi linear abstract differential equations with not instantaneous impulses in this paper using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi linear abstract impulsive differential equations with not instantaneous impulses some applications involving partial differential equations with impulses are presented

structural properties of a class of linear hybrid systems and output feedback stabilization in this paper we deal with the problem of output feedback stabilization for a class of linear hybrid systems this problem is addressed by characterizing the structural properties of such a class of systems namely reachability controllability stabilizability observability constructibility and detectability are framed in terms of algebraic and geometric conditions on the data of the system two canonical forms recalling the classical kalman decompositions with respect to reachability and observability are given by taking advantage of this characterization duality between control and observation structural properties is established and necessary and sufficient conditions for the existence of a linear time invariant output feedback compensator are stated compared with previous results no assumption is needed on the plant about minimum phaseness relative degree or squareness

controllability results for nondensely defined evolution differential inclusions with nonlocal conditions in this paper we prove controllability results for some semilinear nondensely defined evolution differential inclusions in banach spaces with nonlocal conditions

existence results of semilinear differential equations with nonlocal initial conditions in banach spaces abstract in this paper we establish the existence results for semilinear differential systems with nonlocal initial conditions in banach spaces the approaches used are fixed point theorems combined with convex power condensing operators the first result obtained will be applied to a class of semilinear parabolic equations

existence results for an impulsive abstract partial differential equation with state dependent delay in this paper we establish the existence of mild solutions for a class of impulsive abstract partial functional differential equation with state dependent delay

nonlinear impulse evolution systems and applications to population models abstract we apply results on the existence uniqueness and stability of solutions obtained previously for the abstract impulse evolution system to the study of the mathematical model of population subject to abrupt changes of important biological parameters caused by harvesting diseases immigration etc

traveling wave solutions of the degasperis procesi equation we classify all weak traveling wave solutions of the degasperis procesi equation in addition to smooth and peaked solutions the equation is shown to admit more exotic traveling waves such as cuspons stumpons and composite waves

fixed points of weakly inward multis soit x un espace de banach reel k x convexe ferme borne f k 2 x semicontinue superieurement et condensant f x convexe ferme x k et f faiblement interieur sur k alors f a un point fixe

optimal feedback control for a class of strongly nonlinear impulsive evolution equations in this paper we consider the optimal feedback control problems of a system governed by strongly nonlinear impulsive differential equations which contains monotone operators and nonlinear nonmonotone perturbations based on the existence of feasible pairs an existence result of optimal control pairs for the lagrange problem is presented

on the parametrization of conditioned invariant subspaces and observer theory the present paper is an in depth analysis of the set of conditioned invariant subspaces of a given observable pair c a we do this analysis in two different ways one based on polynomial models starting with a characterization obtained in p a fuhrmann linear operators and systems in hilbert space 1981 ieee trans automat control ac 26 1981 284 the other being a state space approach toeplitz operators projections in polynomial and rational models wiener hopf factorizations and factorization indices all appear and are tools in the characterizations we single out an important subclass of conditioned invariant subspaces namely the tight ones which already made an appearance in p a fuhrmann u helmke systems control lett 30 1997 217 a precursor of the present paper of particular importance for the study of the parametrization of the set of conditioned invariant subspaces of an observable pair c a is the structural map that associates with any reachable pair with only the input dimension constrained a uniquely determined conditioned invariant subspace the construction of this map uses polynomial models and the shift realization new objects the partial observability and reachability matrices are introduced which are needed for the state space characterizations kernel and image representations for conditioned invariant subspaces are derived uniqueness of a kernel representation of a conditioned invariant subspace is shown to be equivalent to tightness we pass on to an analysis and derivation of the kronecker hermite canonical form for full column rank rectangular polynomial matrices this extends the work of a e eckberg a characterization of linear systems via polynomial matrices and module theory ph d thesis mit cambridge ma 1974 g d forney siam j control optim 13 1973 493 and d hinrichsen h f munzner and d pratzel wolters systems

controlling the false discovery rate a practical and powerful approach to multiple testing summary the common approach to the multiplicity problem calls for controlling the familywise error rate fwer this approach though has faults and we point out a few a different approach to problems of multiple significance testing is presented it calls for controlling the expected proportion of falsely rejected hypotheses the false discovery rate this error rate is equivalent to the fwer when all hypotheses are true but is smaller otherwise therefore in problems where the control of the false discovery rate rather than that of the fwer is desired there is potential for a gain in power a simple sequential bonferronitype procedure is proved to control the false discovery rate for independent test statistics and a simulation study shows that the gain in power is substantial the use of the new procedure and the appropriateness of the criterion are illustrated with examples

controllability and stabilizability of switched linear systems in this paper we study the conjecture made in ieee trans automat control 47 8 2002 1401 concerning the existence of basic switching sequence for switched systems and give it an affirmative answer and a construction method this paper proves that for switched linear system there exists a switching sequence such that the controllable state set of this switching sequence is equal to the controllable state set of the system hence the controllability can be realized by using only one switching sequence then the result is extended to the systems with time delay in controls furthermore we define the stabilizability of switched linear systems and based on certain transformation of state coordinate we give a necessary and sufficient condition for the stabilizability two examples are presented to illustrate the obtained results

on cα holder classical solutions for non autonomous neutral differential equations the nonlinear case abstract in this paper we continue our developments in 19 on the existence of classical solutions for abstract neutral differential equations in the current work we extend the results in 19 for nonlinear neutral differential equations some applications involving nonlinear partial neutral differential equations are presented

nonlinear differential equations with nonlocal conditions in banach spaces abstract in this paper we study the existence of integral solutions for nonlinear differential equations with nonlocal initial conditions in banach spaces we derive conditions under which the integral solutions exist

existence and asymptotic properties of solutions of nonlinear multivalued differential inclusions with nonlocal conditions abstract this paper deals with a nonlocal problem governed by the nonlinear differential inclusions with multivalued perturbations in banach spaces first using the approach of geometry of banach space hausdorff metric the measure of noncompactness and fixed point existence results are obtained we have removed from previous papers the crucial restriction on the semigroup then we establish the asymptotic properties of integral solutions when t finally for illustration a partial differential equation is worked out

approximations of solutions to neutral functional differential equations with nonlocal history conditions abstract this work is concerned with a class of neutral functional differential equations with nonlocal history conditions in a hilbert space the approximation of solution to a class of such problems is studied moreover the convergence of faedo galerkin approximation of solution is shown for illustration an example is worked out

nonlocal cauchy problems for neutral functional differential and integrodifferential inclusions in banach spaces in this paper we investigate the existence of mild solutions on a compact interval to initial value problems for neutral functional differential and integrodifferential inclusions in banach spaces with nonlocal conditions the results are obtained by using a fixed point theorem for condensing maps due to martelli