on integration of fuzzy mappings abstract in this paper we introduce the concept of an integral of a fuzzy mapping this generalises the integral introduced by matloka 10 and also extends riemann stieltjes integral over a closed interval to fuzzy mappings

robust stability and stabilization of linear switched systems with dwell time sufficient conditions are given for the stability of linear switched systems with dwell time and with polytopic type parameter uncertainty a lyapunov function in quadratic form which is non increasing at the switching instants is assigned to each subsystem during the dwell time this function varies piecewise linearly in time after switching occurs it becomes time invariant afterwards this function leads to asymptotic stability conditions for the nominal set of subsystems that can be readily extended to the case where these subsystems suffer from polytopic type parameter uncertainties the method proposed is then applied to stabilization via state feedback both for the nominal and the uncertain cases

statistical inference based on the possibility and belief measures in statistical inference we infer the population parameter based on the realization of sample statistics this can be considered in the framework of inductive inference we showed in chen 1993 that if we measure a parameter by the possibility or belief measure we can have an inductive inference similar to the bayesian inference in belief update in this article we apply this inference to statistical estimation and hypotheses evaluation testing for some parametric models and compare them to the classical statistical inferences for both onesample and two sample problems

dynamics of excitation in systems with a randomly modulated decay channel abstract we have investigated the kinetics of excitation in the frame of the conventional pauli master equation for a molecular aggregate with a decay channel attached to one distinguished molecule or site as a principally new feature we assume the rate of probability flow through the decay channel to be a randomly modulated function of time the modulation is described by a markoff stochastic process and we do not invoke the white noise assumption an exact calculation is given for a broad family of stochastic processes which bridges and includes the asymmetric random telegraph signal and the gaussian process the general method is then applied in three physically relevant situations one molecule aggregate cyclic antenna system and infinite linear chain in these models we discuss the site occupation probabilities the aggregate excitation function and the mean de excitation time

from two state jump to gaussian stochastic processes abstract a stochastic process which bridges the two state jump markoff process and the gaussian process is introduced and fundamental properties of the process are fully analyzed the resulting expressions are combined with the partial cumulant expansion formula to give an exact power spectrum in the form of a continued fraction a rigorous expression is also obtained for a relaxation function in an analytic form

fuzzy probability measures abstract in 4 hohle has defined fuzzy measures on g fuzzy sets 2 where g stands for a regular boolean algebra consequently since the unit interval is not complemented fuzzy sets in the sense of zadeh 8 do not fit in this framework in a straightforward manner it is the purpose of this paper to continue the work started in 5 which deals with 0 1 fuzzy sets and to give a natural definition of a fuzzy probability measure on a fuzzy measurable space 5 we give necessary and sufficient conditions for such a measure to be a classical integral as in 9 in the case the space is generated a counterexample in the general case is also presented finally it is shown that a fuzzy probability measure is always an integral if the space is generated if we replace the operations and by the t norm to and its dual s0 see 6

a solvable model of dielectric relaxation abstract dielectric relaxation phenomena are analyzed with an exactly solvable model this is such a general model that it includes typical stochastic processes and models as special cases the solutions in the frequency domain as well as in the time domain are obtained and dielectric function e is explicitly calculated

adaptive neural control for a class of switched nonlinear systems in this paper adaptive neural control is presented for a class of switched nonlinear systems with switching jumps and uncertainties in both system models and switching signals condition on limiting variation of the lyapunov function is given for input to state asymptotic stability of switched systems with switching jumps the control objective is achieved uniformly with respect to a class of switching signals the coupled difficulties from the discrepancy between control gains and switching jumps are overcome by discontinuous adaptive neural control combined with the classical adaptive control smooth approximations of the discontinuous controls are then presented for a systematic design procedure

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

brief paper novel adaptive neural control design for nonlinear mimo time delay systems in this paper we address the problem of adaptive neural control for a class of multi input multi output mimo nonlinear time delay systems in block triangular form based on a neural network nn online approximation model a novel adaptive neural controller is obtained by constructing a novel quadratic type lyapunov krasovskii functional which not only efficiently avoids the controller singularity but also relaxes the restriction on unknown virtual control coefficients the merit of the suggested controller design scheme is that the number of online adapted parameters is independent of the number of nodes of the neural networks which reduces the number of the online adaptive learning laws considerably the proposed controller guarantees that all closed loop signals remain bounded while the output tracking error dynamics converges to a neighborhood of the origin a simulation example is given to illustrate the design procedure and performance of the proposed method

brief paper delay dependent stability for discrete systems with large delay sequence based on switching techniques this paper considers the exponential stability problem for a class of discrete time varying delay systems with large delay sequences ldss a new method based on a switching technique is presented to solve this problem a switched delay system in which one of the discrete subsystems may be unstable is firstly employed to describe such a system and then some new concepts about ldss are introduced next using a novel piecewise lyapunov functional explicit delay dependent conditions are developed to show how long and how frequent the ldss can be and still maintain the system exponentially stable without ldss the criterion obtained in this paper includes the established one as a special case two numerical examples are given to show the effectiveness of the proposed method

adaptive fuzzy output feedback dynamic surface control of mimo switched nonlinear systems with unknown gain signs this paper investigates the problem of adaptive fuzzy tracking control for a class of multi input multi output mimo switched uncertain nonlinear systems with unknown gain signs and unmeasurable states fuzzy logic systems are used to approximate the unknown nonlinear functions a fuzzy mimo switched observer is designed to estimate the unmeasurable states the nussbaum type functions are utilized to handle the unknown gain signs of the system under study a switched dynamic surface based adaptive fuzzy control approach is then established by exploiting the average dwell time method and backstepping and the dynamic surface control technique which constructs multiple switched first order filters to overcome the multiple explosion of complexity problem when applying the backstepping recursive design scheme also the proposed approach extends the classical dynamic surface control technique from its original non switched nonlinear version to a switched nonlinear version it is proved that all the signals in the closed loop system are semiglobal uniformly ultimately boundedness under a class of switching signals with average dwell time and the tracking errors converge to a small neighborhood of the origin a mass spring damper system with controller switching as a practical example is provided to demonstrate the effectiveness of the proposed design method

nonprobabilistic entropies and indetermination measures in the setting of fuzzy sets theory abstract our purpose in this paper is first of all to build an axiomatic generalization for the nonprobabilistic entropy of de luca and termini in the setting of fuzzy sets theory we then build from this entropy an indetermination measure which can be used like discriminant function in pattern recognition when patterns are described by means of fuzzy sets

observer based adaptive fuzzy tracking control of mimo stochastic nonlinear systems with unknown control directions and unknown dead zones in this paper an adaptive fuzzy backstepping output feedback tracking control approach is proposed for a class of multi input and multi output mimo stochastic nonlinear systems the mimo stochastic nonlinear systems under study are assumed to possess unstructured uncertainties unknown dead zones and unknown control directions by using a linear state transformation the unknown control coefficients and the unknown slopes characteristic of the dead zones are lumped together and the original system is transformed to a new system on which the control design becomes feasible fuzzy logic systems are used to approximate the unstructured uncertainties and a fuzzy state observer is designed to estimate the unmeasured states by introducing a special nussbaum gain function into the backstepping control design a stable adaptive fuzzy output feedback tracking control scheme is developed the main features of the proposed adaptive control approach are that it can guarantee the stability of the closed loop system and the tracking errors converge to a small neighborhood of zero moreover it can solve the problems of unknown control direction unknown dead zone and unmeasured states simultaneously two simulation examples are provided to show the effectiveness of the proposed approach

fuzzy integrals of set valued mappings and fuzzy mappings abstract the paper based on sugeno 1974 first defines the concept of fuzzy integrals of set valued mappings by the similar way of aumann 1965 then it is discussed some results similar to aumann integral are obtained these include convexity closedness fatou s lemmas and the lebesgue convergence theorem etc at last the fuzzy integral of fuzzy mappings is defined the extended results corresponding with fuzzy integrals of set valued mappings are showed

characterization and comparison of sugeno and choquet integrals abstract starting from the concept of equiordered functions we characterize two types of fuzzy integrals that can be defined on any kind of fuzzy measure sugeno and choquet integrals the characterization theorems that we obtain allow us to carry out a comparative study of these two fuzzy integrals pointing out their formal similarities and their conceptual differences

stochastic theory of a quasiparticle propagating in a dynamically fluctuating medium abstract a stochastic theory describing properties of a quasiparticle propagating in a dynamically fluctuating medium is developed on the basis of the single site dynamical coherent potential approximation and the time convolution equation formalism involving the partial cumulant expansion the optical absorption spectra i the density of states n and the diffusion constant d are calculated for the quasiparticle suffering site energy diagonal fluctuations consisting of an arbitrary number of two state jump markoff processes with an asymmetric probability distribution of the stochastic variable with these fluctuations we have interpolated a two state jump markoff process and a gaussian markoff process and described the behavior of i n and d related to the intermediate processes effects of the asymmetric distribution which may be ascribed to the temperature of the fluctuating medium on i n and d have also been clarified including a tendency for d to increase with increasing asymmetry

numerical analysis of diffusion of a quasiparticle in a dynamically fluctuating medium based on the path integral method ii abstract the path integral method is applied to the study of a stochastic hamiltonian describing the motion of a quasiparticle in a dynamically fluctuating medium formulas to calculate the density of states and the diffusion constant of the quasiparticle are derived on the basis of the path integral method which enables us to compute their exact values numerically for arbitrary fluctuations numerical calculation is demonstrated for one dimensional systems with site energy fluctuations obeying an asymmetric two state jump markoff process as far as one particle quantities such as the density of states are concerned no marked discrepancy between our results and those of the coherent potential approximation are observed as for the diffusion constant on the other hand the two results exhibit qualitatively different behavior which is related to the localization of a quasiparticle particularly for slow fluctuations

fuzzy adaptive observer backstepping control for mimo nonlinear systems in this paper a fuzzy adaptive backstepping output feedback control approach is developed for a class of multi input and multi output mimo nonlinear systems with unmeasured states using fuzzy logic systems to approximate the unknown nonlinear functions a fuzzy adaptive observer is designed for state estimation as well as system identification combining with the backstepping design techniques a fuzzy adaptive output feedback control is constructed recursively it is proved that the proposed fuzzy adaptive control approach can guarantee the semi global uniform ultimate boundedness for all the signals and the tracking error to a small neighborhood of the origin simulation studies illustrate the effectiveness of the proposed approach

on set valued fuzzy integrals abstract in the paper we extend fuzzy integrals of point valued functions which were defined by ralescu and adams to set valued functions some properties similar to auman integrals are shown and these include convexity monotonicity fatou s lemma lebesgue convergence theorem etc

fuzzy adaptive controller for mimo nonlinear systems with known and unknown control direction this paper investigates fuzzy adaptive control schemes for a class of multi input multi output mimo unknown nonlinear systems with known and unknown sign of the control gain matrix three fuzzy adaptive control schemes are developed in the design of the second and third controller we will exploit a decomposition of the control gain matrix into a symmetric positive definite matrix a diagonal matrix with diagonal entries 1 or 1 and a unity upper triangular matrix the nussbaum type function is used to deal with the unknown control direction i e the unknown sign of the control gain matrix for updating the parameters of the fuzzy system an adaptation proportional integral pi law is proposed theoretical results are illustrated through two simulation examples

stabilization of continuous time switched nonlinear systems abstract the paper considers three problems for continuous time nonlinear switched systems the first result of this paper is a open loop stabilization strategy based on dwell time computation the second considers a state switching strategy for global stabilization the strategy is of closed loop nature trajectory dependent and is designed from the solution of what we call nonlinear lyapunov metzler inequalities from which the stability condition is expressed finally results on the stabilization of nonlinear time varying polytopic systems are provided

switched adaptive control of switched nonlinearly parameterized systems with unstable subsystems this paper investigates the problem of adaptive stabilization for a class of switched nonlinearly parameterized systems where the solvability of the adaptive stabilization problem for subsystems is unnecessary a new switched adaptive control technique for the problem studied is set up by exploiting the generalized multiple lyapunov functions method and the parameter separation technique different update laws are designed to reduce the conservativeness caused by adoption of a common update law for all subsystems also the proposed technique permits removal of a common restriction in which the parameterization in the switched systems is restricted to a linear parameterization as an application of the proposed design technique stabilization for a class of non triangular switched systems with nonlinear parameterization is achieved by design of adaptive controllers since no subsystem of such a switched system is assumed to be adaptively stabilizable the problem under study cannot be handled by the existing methods a two inverted pendulums as a practical example is also provided to demonstrate the effectiveness of the proposed design method

decentralized adaptive fuzzy output feedback control of switched large scale nonlinear systems in this paper a decentralized adaptive fuzzy output feedback control problem is discussed for a class of switched large scale nonlinear systems without the measurements of the system states fuzzy logic systems are used to approximate the unknown nonlinear functions and a switched observer is designed to avoid the conservativeness caused by adoption of a common observer for all subsystems a common coordinate transformation of all subsystems is constructed to get rid of individual coordinate transformations for subsystems that are required when applying the backstepping recursive design scheme meanwhile since the exponential decline property of lyapunov functions for individual subsystems is no longer satisfied in this paper the classical average dwell time method cannot be directly applied based on this a switched observer based decentralized adaptive fuzzy output feedback control technique is set up by exploiting the average dwell time method and backstepping it is proved that all the signals of the resulting closed loop system are semiglobally uniformly ultimately bounded under a class of switching signals with average dwell time while the tracking errors converge to a small neighborhood of the origin the effectiveness of the proposed control scheme is illustrated by its applications to a two inverted pendulum system and a quadruple tank process system

fuzzy measures and measures of fuzziness abstract in this paper the fuzzy integral defined by z x wang fuzzy math wuhan china in press which is different from that defined by m sugeno theory of fuzzy integrals and its applications ph d tokyo inst of technology 1974 is further considered and it is shown that the fuzzy measures of ordinary sets and fuzzy sets can be determined by each other summing up the results on the measure of fuzziness by a deluca and s a termini inform and control 20 1972 301 312 z x wang op cit and r r yager internat j gen systems 5 1979 221 229 inform and control 44 1980 236 260 the axioms for measures of fuzziness are given furthermore as an application of the furry integrals a measure of fuzziness is defined inversely it is proven that a measure of fuzziness satisfying some conditions can surely be expressed as a fuzzy integral with respect to some fuzzy measure