Recently, switched systems have been found in many practical applications such as in communication network dynamics, robot manipulators, traffic management, etc. In this paper, we study the stability of time-varying linear switched systems under perturbations that satisfy linear growth condition, which is not available in current literature. By introducing a new Liao-type exponent for time-vary...

This paper addresses the exponential stability problem for a class of discrete-time switched linear positive systems (DSLPSs) with time-delay. Firstly, an exponential stability criterion for a non-switched delay positive system is proposed. Then, by constructing a suitable co-positive type Lyapunov–Krasovskii functional, an exponential stability criterion for switched delay positive systems is ...

We study dynamics of a bimodal planar linear switched system with both subsystems Hurwitz stable. give dwell time bounds so that the is asymptotically These obtained are in terms certain smooth functions eigenvalues and (generalized) eigenvectors subsystem matrices. The results extended to special class symmetric bilinear systems. also multimodal which switching governed by an undirected star g...

In this paper, the problems of stability for continuous and discrete-time polytopic uncertain switched linear systems with average dwell time switching are investigated. Firstly, the exponential stability result of general continuous-time switched systems using a discontinuous piecewise Lyapunov function approach is revisited, and the discretetime counterpart is then presented by the following ...