brief paper interval observer design for consistency checks of nonlinear continuous time systems this paper deals with fault detection for nonlinear continuous time systems a procedure based on interval analysis is proposed to build a guaranteed qlpv quasi linear parameter varying approximation of the nonlinear model the interval qlpv approximation makes it possible to derive two point observers which estimate respectively the lower and the upper bound of the state vector using cooperativity theory a set guaranteed to contain the actual value of the residual is then designed the modelling uncertainties and measurement errors are taken into account at the design stage the proposed methodology is illustrated through numerical simulations

high gain interval observer for partially linear systems with bounded disturbances in this paper a high gain interval observer is proposed for a class of partially linear systems affected by unknown but bounded additive disturbances term and measurements noise the proposed obse

two dimensional dissipative control and filtering for roesser model this paper investigates the problems of two dimensional 2 d dissipative control and filtering for a linear discrete time roesser model first a novel sufficient condition is proposed such that the discrete time roesser system is asymptotically stable and 2 d q s r hbox alpha dissipative special cases such as 2 d passivity performance and 2 d h infty performance and feedback interconnected systems are also discussed based on this condition new 2 d q s r hbox alpha dissipative state feedback and output feedback control problems are defined and solved for a discrete time roesser model the design problems of 2 d q s r hbox alpha dissipative filters of observer form and general form are also considered using a linear matrix inequality lmi approach two examples are given to illustrate the effectiveness and potential of the proposed design techniques

stability of markovian jump generalized neural networks with interval time varying delays this paper examines the problem of asymptotic stability for markovian jump generalized neural networks with interval time varying delays markovian jump parameters are modeled as a continuous time and finite state markov chain by constructing a suitable lyapunov krasovskii functional lkf and using the linear matrix inequality lmi formulation new delay dependent stability conditions are established to ascertain the mean square asymptotic stability result of the equilibrium point the reciprocally convex combination technique jensen s inequality and the wirtinger based double integral inequality are used to handle single and double integral terms in the time derivative of the lkf the developed results are represented by the lmi the effectiveness and advantages of the new design method are explained using five numerical examples

state feedback control of systems with multiplicative noise via linear matrix inequalities we consider lti systems perturbed by parametric uncertainties modeled as white noise disturbances we show how to maximize via state feedback control the smallest norm of the noise intensity vector producing instability in the mean square sense using convex optimization over linear matrix inequalities we also show how to maximize performance robustness where performance is measured by expected output energy with either bounded initial conditions and zero inputs classical lqg cost or zero initial conditions and deterministic inputs of bounded energy a generalization of the h norm

interval estimation for continuous time switched linear systems this paper deals with the design of interval observers for switched linear systems sls a class of hybrid systems under the assumption that the disturbances and the measurement noise are bounded upper and lower bounds for the state are calculated new conditions of cooperativity in discrete time instants are firstly proposed then some techniques for interval estimation are developed in continuous time it is shown that it is possible to calculate the observer gains making the estimation error dynamics cooperative and stable via some change of coordinates under arbitrary switching sequences the performances of the developed techniques are illustrated through numerical examples

brief paper input to state stability of switched systems and switching adaptive control in this paper we prove that a switched nonlinear system has several useful input to state stable iss type properties under average dwell time switching signals if each constituent dynamical system is iss this extends available results for switched linear systems we apply our result to stabilization of uncertain nonlinear systems via switching supervisory control and show that the plant states can be kept bounded in the presence of bounded disturbances when the candidate controllers provide iss properties with respect to the estimation errors detailed illustrative examples are included

interval observers for time varying discrete time systems this techical note deals with interval state observer design for time varying discrete time systems the problem of a similarity transformation computation which connects a time varying matrix and its nonnegative representation is studied three solutions are proposed for a generic time varying system a system with positive state and for a particular class of periodical systems numerical simulations are provided to demonstrate advantages of the developed techniques

common quadratic lyapunov like functions with associated switching regions for two unstable second order lti systems in this paper we establish quadratic lyapunov like functions for qualitative analysis of switched systems specifically for a class of switched systems consisting of two unstable second order lti linear time invariant subsystems we explore in detail some necessary and sufficient conditions for the existence of common weakly quadratic lyapunov like functions with associated switching regions in r 2 plane the existence conditions and the construction of such quadratic lyapunov like functions are established by using the conic switching laws

interval estimation for continuous time lpv switched systems this paper deals with interval state estimation for continuous time linear parameter varying lpv switched systems with measured polytopic parameter dependence assuming a known switching signal

mathcal h_ infty control for 2 d markov jump systems in roesser model this paper considers the problem of asynchronous mathcal h infty control for two dimensional 2 d markov jump systems the underlying system is described based upon the roesser model especially the hidden markov model is employed when dealing with the asynchronization between a controlled system and a controller and the relation between them is constructed through a conditional probability matrix based on the lyapunov function technique the asymptotic mean square stability and mathcal h infty noise attenuation performance are investigated for the closed loop 2 d system moreover the controller gain can be obtained by solving a convex optimization problem an example is presented to show the effectiveness and potential of the proposed new design technique

optimal interval observers for discrete time linear switched systems the main goal of this paper is to present a methodology to design interval observers for discrete time linear switched systems affected by bounded but unknown disturbances two design techniques a

finite region dissipative dynamic output feedback control for 2 d fm systems with missing measurements abstract this paper focuses on the finite region dissipative dynamic output feedback control problem for a class of discrete time two dimensional 2 d fornasini marchesini fm systems with missing measurements firstly the definitions of finite region boundedness frb and finite region t s r dissipativity are introduced for 2 d fm systems secondly sufficient conditions on the frb and finite region t s r dissipativity of the resultant closed loop 2 d systems are obtained by the construction of the lyapunov function and the special recursive formulas thirdly based on the decoupling technique the desired dynamic output feedback controller design method for the considered 2 d systems is further provided in the end an example of the metal rolling process is given to show the effectiveness of the proposed design results

stability of two dimensional descriptor systems with generalized directional delays abstract this paper is concerned with the problem of stability analysis of two dimensional 2 d descriptor systems described by a roesser type model with generalized directional time varying delays by constructing an improved 2 d lyapunov krasovskii functional candidate and utilizing zero type free matrix equations new delay dependent conditions are derived in terms of linear matrix inequalities lmis to ensure that the system under consideration is regular causal and internally stable the obtained results are shown to extend the existing literature by numerical examples

delay dependent energy to peak stability of 2 d time delay roesser systems with multiplicative stochastic noises this paper is concerned with the problem of energy to peak stochastic stability epss of two dimensional 2 d roesser systems in the presence of state time varying delays and multiplicative noises first a scheme that ensures a 2 d stochastic time delay system is stochastically stable with an attenuation performance is proposed the scheme presented in this paper can be regarded as an extension of the lyapunov krasovskii functional method for 2 d stochastic time delay systems focusing on the epss problem the proposed scheme is then utilized to derive delay dependent epss conditions in terms of tractable linear matrix inequalities a numerical example is given to illustrate the effectiveness of the derived stability conditions

interval observer design for continuous time linear parameter varying systems abstract this paper studies interval observer design for linear parameter varying systems subject to uncertainties in parameters input and output based on a general assumption that these uncertainties are unknown but bounded by known intervals a novel interval observer is presented to estimate the bounds of state to attenuate the effect of uncertainties and obtain tight state intervals a novel l norm based design method is proposed numerical simulations are conducted to demonstrate the performance of the proposed method

functional interval observer for discrete time systems with disturbances abstract this paper further investigates the design problem of the functional interval observer for discrete time systems with disturbances two methods are given to design functional interval observers given monotone system theory a luenberger like functional interval observer is constructed and sufficient conditions are achieved by sylvester equations in the first method the second approach is known as the two step method an h functional observer of the system is presented by the h technique and then the approach of the zonotope is used to estimate its upper and lower boundaries to improve the estimation accuracy the above methods are applied to two examples for comparison and to show the correctness

stochastic stability analysis for 2 d roesser systems with multiplicative noise this paper is concerned with the robust stochastic stability analysis for two dimensional 2 d discrete state multiplicative noisy systems smnss in the roesser form we first derive a new sufficient condition under which linear discrete 2 d smnss are 2 d robustly stochastically stable the underlying problem can then be recast as a convex problem expressed by linear matrix inequalities which can be facilitated using existing numerical algorithms we then apply the obtained result to examine the 2 d robust stochastic stability for 2 d digital filters in the roesser form with random coefficient variation and saturation overflow arithmetic based on free weighting matrices and diagonally dominant matrices an illustrative example is presented to verify the usefulness and potential of the proposed results

interval observers for linear time invariant systems with disturbances it is shown that for any time invariant exponentially stable linear system with additive disturbances time varying exponentially stable interval observers can be constructed the technique of construction relies on the jordan canonical form that any real matrix admits and on time varying changes of coordinates for elementary jordan blocks which lead to cooperative linear systems the approach is applied to detectable linear systems

on search games that include ambush we present a stochastic game that models ambush search in a finite region q which has area but no other structure the searcher can search a unit area of q in unit time or adopt an ambush mode for a certain period the searcher captures the hider when the searched region contains the hider s location or if the hider moves while the searcher is in ambush mode the payoff in this zero sum game is the capture time our game is motivated by the still unsolved princess and monster game on a star graph with a large number of leaves

observability for switched linear systems characterization and observer design this paper presents a characterization of observability and an observer design method for switched linear systems with state jumps a necessary and sufficient condition is presented for observability globally in time when the system evolves under predetermined mode transitions because this characterization depends upon the switching signal under consideration the existence of singular switching signals is studied alongside developing a sufficient condition that guarantees uniform observability with respect to switching times furthermore while taking state jumps into account a relatively weaker characterization is given for determinability the property that concerns with recovery of the original state at some time rather than at all times assuming determinability of the system a hybrid observer is designed for the most general case to estimate the state of the system and it is shown that the estimation error decays exponentially since the individual modes of the switched system may not be observable the proposed strategy for designing the observer is based upon a novel idea of accumulating the information from individual subsystems contrary to the usual approach dwell time between switchings is not necessary but the proposed design does require persistent switching for practical purposes the calculations also take into account the time consumed in performing computations

command filtered based fuzzy adaptive control design for mimo switched nonstrict feedback nonlinear systems the adaptive fuzzy tracking control design problem for multi input and multi output uncertain switched nonstrict feedback nonlinear systems with arbitrary switchings is investigated in this paper fuzzy logic systems are introduced to identify the unknown nonlinear functions for state measurable case and model the uncertain nonlinear systems for state immeasurable case both state feedback and observer based output feedback control design schemes are developed based on combined command filter and adaptive fuzzy control technique the proposed adaptive fuzzy controllers not only solve the explosion of complexity problem existing in conventional backstepping control schemes but as well as avoid the calculation of partial derivatives furthermore the stability of the fuzzy control systems under arbitrary switchings is proven based on the common lyapunov function method two simulation examples are presented to further demonstrate the effectiveness of the proposed control strategies

interval state estimation for a class of nonlinear systems the goal of this technical note is to design interval observers for a class of nonlinear continuous time systems the first part of this work shows that it is usually possible to design an interval observer for linear systems by means of linear time invariant changes of coordinates even if the system is not cooperative this result is extended to a class of nonlinear systems using partial exact linearisations the proposed observers guarantee to enclose the set of system states that is consistent with the model the disturbances and the measurement noise moreover it is only assumed that the measurement noise and the disturbances are bounded without any additional information such as stationarity uncorrelation or type of distribution the proposed observer is illustrated through numerical simulations

on stabilization of 2d roesser models this note is devoted to the stabilization of 2d roesser models which are discrete continuous or mixed continuous discrete a recent linear matrix inequalities lmis necessary and sufficient condition for stability of such models is used to derive a quasi non conservative technique for state feedback stabilization

continuous and discrete state estimation for switched lpv systems using parameter identification in this paper the problem of discrete and continuous state estimation for a class of uncertain switched lpv systems is addressed parameter identification techniques are applied to realize an approximate identification of the scheduled parameters of a switched lpv system with certain uncertainties and or disturbances a discrete state estimation is achieved using the parameter identification a luenberger like hybrid observer based on discrete state information and lmis approach is used for the continuous state estimation the simplicity of the proposed method is one of the main advantages of this paper the feasibility of the proposed method is illustrated by simulations

interval observers for continuous time lpv systems with l 1 l 2 performance an approach to interval observer design for linear parameter varying lpv systems is proposed it is assumed that the vector of scheduling parameters in lpv models is not available for measurement two different interval observers are constructed for nonnegative systems and for a generic case stability conditions are expressed in terms of matrix inequalities which can be solved with respect to the observer gains using standard numerical solvers applying l 1 l 2 framework the robustness and estimation accuracy with respect to model uncertainty are analyzed the efficiency of interval estimation for lpv models is demonstrated through numerical experiments for a microfluidic system and an academic example

stochastic h infty we consider stochastic linear plants which are controlled by dynamic output feedback and subjected to both deterministic and stochastic perturbations our objective is to develop an h infty type theory for such systems we prove a bounded real lemma for stochastic systems with deterministic and stochastic perturbations this enables us to obtain necessary and sufficient conditions for the existence of a stabilizing compensator which keeps the effect of the perturbations on the to be controlled output below a given threshhold gamma 0 in the deterministic case the analogous conditions involve two uncoupled linear matrix inequalities but in the stochastic setting we obtain coupled nonlinear matrix inequalities instead the connection between h infty theory and stability radii is discussed and leads to a lower bound for the radii which is shown to be tight in some special cases

stability and stabilizability of switched linear systems a survey of recent results during the past several years there have been increasing research activities in the field of stability analysis and switching stabilization for switched systems this paper aims to briefly survey recent results in this field first the stability analysis for switched systems is reviewed we focus on the stability analysis for switched linear systems under arbitrary switching and we highlight necessary and sufficient conditions for asymptotic stability after a brief review of the stability analysis under restricted switching and the multiple lyapunov function theory the switching stabilization problem is studied and a variety of switching stabilization methods found in the literature are outlined then the switching stabilizability problem is investigated that is under what condition it is possible to stabilize a switched system by properly designing switching control laws note that the switching stabilizability problem has been one of the most elusive problems in the switched systems literature a necessary and sufficient condition for asymptotic stabilizability of switched linear systems is described here

stability analysis of genetic regulatory networks with switching parameters and time delays this paper is concerned with the exponential stability analysis of genetic regulatory networks grns with switching parameters and time delays in this paper a new integral inequality and an improved reciprocally convex combination inequality are considered by using the average dwell time approach together with a novel lyapunov krasovskii functional we derived some conditions to ensure the switched grns with switching parameters and time delays are exponentially stable finally we give two numerical examples to clarify that our derived results are effective

generalized h2 fault detection for two dimensional markovian jump systems this paper is concerned with the generalized h 2 fault detection for two dimensional 2 d discrete time markovian jump systems the mathematical model of the 2 d system is established upon the well known roesser model and the measurement missing phenomenon which appears typically in a network environment is modeled by a stochastic variable satisfying the bernoulli random binary distribution in addition the transition probabilities of the markovian jump process are assumed to be partly accessed that is the transition probabilities are partly known our attention is focused on the design of a fault detection filter or a residual generation system which guarantees the fault detection system to be mean square asymptotically stable and to have a prescribed generalized h 2 performance sufficient conditions for the existence of a desired fault detection filter are established in terms of linear matrix inequalities lmis a numerical example is provided to illustrate the effectiveness of the proposed design method

brief paper h filtering for 2d markovian jump systems this paper is concerned with the problem of h filtering for 2d discrete markovian jump systems the mathematical model of 2d jump systems is established upon the well known roesser model our attention is focused on the design of a full order filter which guarantees the filtering error system to be mean square asymptotically stable and has a prescribed h disturbance attenuation performance sufficient conditions for the existence of a desired filter are established in terms of linear matrix inequalities lmis and the corresponding filter design is cast into a convex optimization problem which can be efficiently solved by using commercially available numerical software a numerical example is provided to illustrate the effectiveness of the proposed design method