文献类型：期刊文献

英文题名：Stability Analysis of Stochastic Delayed Systems With an Application to Multi-Agent Systems

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]East 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：61

期号：12

起止页码：4143

外文期刊名：IEEE TRANSACTIONS ON AUTOMATIC CONTROL

收录：;EI(收录号：20165103146434);WOS:【SCI-EXPANDED(收录号:WOS:000389891100042)】；

基金：This work was supported in part by the Natural Science Foundation of China (11401005, 61590923, 61503328, and 71571001), the Anhui Excellent Youth Fund (2013SQRL033ZD), the China Postdoctoral Science Foundation (2015M571629), the Fundamental Research Funds for the Central Universities of China (222201514328), the Natural Science Foundation of Anhui Province (1408085QA09), and the Thousand Youth Talents Plan of China and the Top Talent Support Program of Yangzhou University. Recommended by Associate Editor P. Bolzern. (Corresponding author: Yang Tang.)

语种：英文

外文关键词：Comparison principle; consensus; Halanay-type inequality; multi-agent systems; stochastic delayed systems

摘要：This technical note is concerned with the stability problem of stochastic delayed systems by using a more general Halanay-type inequality with time-varying coefficients. A new comparison principle of the proposed Halanay-type inequality is developed to ensure the stability of stochastic delayed systems. The pth moment stability, pth moment asymptotic stability and pth moment exponential stability are investigated by means of the proposed general Halanay-type inequality. Two examples including one of the consensus of multi-agent systems with time-varying topologies and transmission delays are presented to demonstrate the effectiveness of the proposed results.