title: Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time.
abstract: This paper mainly studies the asynchronous control problem for a class of discrete-time impulsive switched systems, where "asynchronous" means the switching of the controllers has a lag to the switching of system modes. By using multiple Lyapunov functions (MLFs), the much looser asymptotic stability result of closed-loop systems is derived with a mode-dependent average dwell time (MDADT) technique. Based on the stability result obtained, the problem of asynchronous control is solved under a proper switching law. Moreover, the stability and stabilization results are formulated in form of matrix inequalities that are numerically feasible. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained stability results.
authors.affiliation: School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China. Electronic address: bowang1988@163.com.
authors.forename: Bo
authors.initials: B
authors.lastname: Wang
authors.affiliation: School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR 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, PR China. Electronic address: wanggangisi@gmail.com.
authors.forename: Gang
authors.initials: G
authors.lastname: Wang
authors.affiliation: Manufacturing Engineering & Engineering Management, City University of Hong Kong, Hong Kong. Electronic address: mecdang@cityu.edu.hk.
authors.forename: Chuangyin
authors.initials: C
authors.lastname: Dang
authors.affiliation: Operation and Management Division, AVIC International Holdings Limited, Shenzhen, Guangdong 518031, PR China. Electronic address: zhongsj@avic-intl.cn.
authors.forename: Sijun
authors.initials: S
authors.lastname: Zhong
keywords: Asymptotic stability; Asynchronous control; Mode-dependent average dwell time