Input-to-State Stability of Switched Nonlinear Delay Systems Based on a Novel Lyapunov-Krasovskii Functional Method  

作　　者：ZONG Guangdeng ZHAO Haijuan 

机构地区：[1]School of Engineering, Qufu Normal University

出　　处：《Journal of Systems Science & Complexity》2018年第4期875-888,共14页系统科学与复杂性学报（英文版）

基　　金：supported in part by the National Natural Science Foundation of China under Grant Nos.61773235,61273123,61374004,61403227;part by Program for New Century Excellent Talents in University under Grant No.NCET-13-0878;part by the Taishan Scholar Project of Shandong Province of China under Grant No.tsqn20161033

摘　　要：In this paper, the input-to-state stability （ISS） analysis is addressed for switched nonlinear delay systems. By introducing a novel Lyapunov-Krasovskii functional with indefinite derivative and the merging switching signal techniques, some new- criteria are established for switched nonlinear delay systems under asynchronous switching, which extends the existing results to the nonlinear systems with switching rules and delays. The ISS problem is also considered under synchronous switching for switched nonlinear systems by employing the similar techniques. Finally, a nonlinear delay model is provided to show the effectiveness of the proposed results.

关 键 词：Asynchronous switching average dwell time input-to-state stability Lyapunov-Krasovskii functional switched delay system. 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]