title: Stability analysis for discrete-time switched systems with unstable subsystems by a mode-dependent average dwell time approach.
abstract: This paper mainly intends to present new stability results of a discrete-time switched system with unstable subsystems. By adopting multiple Lyapunov functions׳ (MLFs׳) method, new and less conservative stability conditions are derived in terms of a set of numerical feasible linear matrix inequalities (LMIs) with mode-dependent average dwell time (MDADT) techniques. Different from previous literatures, unstable subsystems are considered under two situations in this paper. It is shown that the discrete-time switched system can achieve exponential stability under a slow switching scheme and even in the presence of fast switching of unstable subsystems. Finally a numerical example is given to demonstrate the effectiveness of the proposed method.
authors.affiliation: School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu 210049, China; School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China. Electronic address: zhanghb@uestc.edu.cn.
authors.forename: Hongbin
authors.initials: H
authors.lastname: Zhang
authors.affiliation: School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China. Electronic address: xiedehua1005@163.com.
authors.forename: Dehua
authors.initials: D
authors.lastname: Xie
authors.affiliation: School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China. Electronic address: hyzhang@uestc.edu.cn.
authors.forename: Hongyu
authors.initials: H
authors.lastname: Zhang
authors.affiliation: School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China. Electronic address: wanggangisi@gmail.com.
authors.forename: Gang
authors.initials: G
authors.lastname: Wang
keywords: Mode-dependent average dwell time; Stability; Switched systems; Unstable subsystems