In this paper, we investigate adaptive switched generalized function projective synchronization between two new different hyperchaotic systems with unknown parameters, which is an extension of the switched modified function projective synchronization scheme. Based on the Lyapunov stability theory, corresponding adaptive controllers with appropriate parameter update laws are constructed to achie...

In this paper, the problem of H∞ filtering for a class of discrete-time switched systems with unknown inputs is investigated. By using switched Lyapunov functionals, sufficient conditions for the solution of this problem are obtained in terms of linear matrix inequalities (LMIs). Filtering is envisaged both with proportional and proportional integral observers. In addition, the results obtained...

Notions of passivity for a class of switched control systems (SCS) are developed first in this article. We then study the following problems: 1) When is an SCS passive? 2) Does passivity imply Lyapunov stability as in the classical passive systems? 3) How to use passivity as a tool to design controllers to stabilize an SCS? For Problem 1), we derive sufficient conditions for passivity. For prob...

In this paper, the stabilizability of discrete-time linear switched systems is considered. Several sufficient conditions for stabilizability are proposed in the literature, but not a necessary and sufficient one. The main contribution is a computation-oriented necessary and sufficient condition for stabilizability based on set-theory. Based on such a condition, an algorithm for computing the Ly...

This paper is concerned with the H∞ control problem for a class of non-minimum phase cascade switched nonlinear systems. The system under consideration is composed of two cascade-connected parts which are also switched systems. Sufficient conditions under which the H∞ control problem is solvable under an arbitrary switching law are presented. The Common Lyapunov function and the switched state ...

This paper designs a sampled-data controller to exponentially stabilize kind of chaotic systems (CSs) which are represented by T-S fuzzy model with nonuniform sampling. By employing switched technology and Lyapunov functional dependent on membership-functions (FMFs), new control criterion for was established. Compared the existing methods, less conservatism large sampling period can be obtained...

In this paper we derive Lyapunov stability and lin-earization properties for a class of switched systems. Based on these properties, we use an LMI method to design stabilizing controllers for switched systems. An example is given to illustrate the theoretical results.

In this paper, we investigate the disturbance attenuation properties of timecontrolled switched systems consisting of several linear time-invariant subsystems by using a dwell time approach incorporated with piecewise Lyapunov functions. First, we show that when all subsystems are Hurwitz stable and achieve a disturbance attenuation level smaller than γ0, then the switched system can achieve an...

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the system state; it selects, at each instant of time, the active subsystem from a family of systems. Sufficient conditions for stochastic stability (almost sur...

This talk concerns the problem of computing invariant sets for linear systems which are subject to hard input and state constraints. Traditionally, the computation of such sets, and of the corresponding induced Lyapunov functions, is performed by iteratively applying the backward reachability map until convergence to a fixed point is achieved, choosing as initial condition the state constraint ...