文献类型：期刊文献

英文题名：Input-to-State Stability of Time-Varying Switched Systems With Time Delays

作者：Wu, Xiaotai[1,2];Tang, Yang[2];Cao, Jinde[3]

机构：[1]Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Peoples R China;[2]East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[3]Southeast Univ, Dept Math, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

年份：2019

卷号：64

期号：6

起止页码：2537

外文期刊名：IEEE TRANSACTIONS ON AUTOMATIC CONTROL

收录：;EI(收录号：20183605786108);WOS:【SCI-EXPANDED(收录号:WOS:000469913800028)】；

基金：This work was supported in part by the National Key Research and Development Program of China under Grant 2018YFC0809302, in part by the Natural Science Foundation of China under Grant 61873294, Grant 61833005, Grant 61673176 and Grant 61751305, in part by the Programme of Introducing Talents of Discipline to Universities (the 111 Project under Grant B17017), in part by the Thousand Youth Talents, and in part by the Projects of Anhui Polytechnic University under Grant 2018JQ01 and Grant 2016BJRC009.

语种：英文

外文关键词：Input-to-state stability (ISS); switched systems; time-varying systems; unstable subsystems

摘要：This paper considers the input-to-state stability (ISS) of time-varying switched systems with time delays, where the upper bound estimation for the operator of Lyapunov function (UBEOL) is assumed to be time varying and mode dependent. The ISS and integral ISS are investigated for time-varying switched systems with time delays by using the Lyapunov-Razumikhin and comparison theorem methods. Since the coefficient in the UBEOL is time varying and takes a positive/negative value, the subsystems consist of both ISS and non-ISS subsystems, simultaneously. It is shown that our presented results have wider applications than some existing works. Two examples, including one of the consensus for time-varying multiagent systems with cooperative and competitive protocols. are presented to demonstrate the effectiveness of the proposed results.