Abstract The problem about controller design for stochastic nonlinear switched systems with delay is considered. Stochastic system a kind of which integrates switching and fuzzy characteristics can fully reflect factors. First, the mathematical model time disturbance given. Second, corresponding designed proposed model. Then, we use multi-Lyapunov method to establish closed-loop on basis our co...

This paper is concerned with the problem of stabilization and L2-gain analysis for a class of switched nonlinear systems with norm-bounded time-varying uncertainties. A system in this class is composed of two parts: a uncertain linear switched part and a nonlinear part, which are also switched systems. When all the subsystem are stabilizable and have a L2-gain, the switched feedback control law...

In the present paper, we study several qualitative properties of a class of nonlinear switched systems under certain switching laws. First, we show that if all the subsystems are linear time-invariant and the system matrices are commutative componentwise and stable, then the entire switched system is globally exponentially stable under arbitrary switching laws. Next, we study the above linear s...

Quadratic stability of a class of switched non-linear systems is studied in this paper. We first transform quadratic stability problem into an equivalent nonlinear programming problem. Then, with the help of Fritz John condition for nonlinear programming problems, we derive a necessary and sufficient condition for switched systems to be quadratically stable. This necessary and sufficient condit...

In this paper, a new class of hybrid impulsive and switching models are introduced. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability of hybrid impulsive and switched nonlinear systems are established. Further more, a new hybrid impulsive and switching control strategy for the nonlinear systems is developed to improve the system perf...

In this paper the extension of LaSalle’s Invariance Principle for switched nonlinear systems is studied. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, in this paper we allow the switching modes to be only stable. Under certain ergodicity assumptions of the switching signals, two extensions of LaSalle’s Invariance Principle for global ...