Input-to-State Stability of Time-Varying Switched Systems With Time Delays

被引：109
|
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
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 06期
关键词：
Input-to-state stability (ISS); switched systems; time-varying systems; unstable subsystems; STABILIZATION; SIMULATION; THEOREM;
D O I：
10.1109/TAC.2018.2867158
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
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页码：2537 / 2544
页数：8
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