文献类型：期刊文献

英文题名：Input-to-state stability of impulsive stochastic delayed systems under linear assumptions

作者：Wu, Xiaotai[1,2];Tang, Yang[3];Zhang, Wenbing[4]

机构：[1]Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Peoples R China;[2]Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China;[3]E China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[4]Yangzhou Univ, Dept Math, Yangzhou 225009, Jiangsu, Peoples R China

年份：2016

卷号：66

起止页码：195

外文期刊名：AUTOMATICA

收录：;EI(收录号：20161002069491);WOS:【SCI-EXPANDED(收录号:WOS:000371099300023)】；

基金：This research was partially supported by the Natural Science Foundation of China (No. 61590923, No. 11326121, No. 61503328 and No. 71571001), the Anhui Excellent Youth Fund (2013SQRL033ZD), the Natural Science Foundation of Anhui Province (No. 1408085QA09), the Fundamental Research Funds for the Central Universities of China (222201514328), the China Postdoctoral Science Foundation (No. 2015M571629), the Top Talent Support Program of Yangzhou University and the Thousand Youth Talents Plan of China.

语种：英文

外文关键词：Input-to-state stability; Impulsive stochastic systems; Average impulsive interval; Time-delays

摘要：In this paper, the input-to-state stability (ISS), integral-ISS (iISS) and stochastic-ISS (SISS) are investigated for impulsive stochastic delayed systems. By means of the Lyapunov-Krasovskii function and the average impulsive interval approach, the conditions for ISS-type properties are derived under linear assumptions, respectively, for destabilizing and stabilizing impulses. It is shown that if the continuous stochastic delayed system is ISS and the impulsive effects are destabilizing, then the hybrid system is ISS with respect to a lower bound of the average impulsive interval. Moreover, it is unveiled that if the continuous stochastic delayed system is not ISS, the impulsive effects can successfully stabilize the system for a given upper bound of the average impulsive interval. An improved comparison principle is developed for impulsive stochastic delayed systems, which facilitates the derivations of our results for ISS/iISS/SISS. An example of networked control systems is provided to illustrate the effectiveness of the proposed results. (C) 2016 Elsevier Ltd. All rights reserved.