Delay Tolerance for Stable Stochastic Systems and Extensions

doi:10.1109/TAC.2020.3012525

CSpace

	Delay Tolerance for Stable Stochastic Systems and Extensions
	Zong, Xiaofeng 1,2; Li, Tao 3; Yin, George 4; Zhang, Ji-Feng 5,6
	2021-06-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	66 期号:6 页码:2604-2619
摘要	This article establishes a "robustness" type result, namely, delay tolerance for stable stochastic systems under suitable conditions. We study the delay tolerance for stable stochastic systems and delayed feedback controls of such systems, where the delay can be statedependent or induced by the sampling-data. First, we consider systems with global Lipschitz continuous coefficients and show that when the original stochastic system without delay is pth moment exponentially stable, the system with small delays is still pth moment exponentially stable. In particular, when the pth moment exponential stability is based on Lyapunov conditions, we can obtain explicit delay bounds formoment exponential stability. Then, we consider a class of stochastic systems with nonglobal Lipschitz conditions and find a delay bound for almost sure and mean square exponential stability. As extension of the stability tolerance criteria, consensus, and tracking control of multiagent systems with measurement noises and nonuniform delays are studied.
关键词	Delay multiagent system stability stochastic system
DOI	10.1109/TAC.2020.3012525
收录类别	SCI
语种	英语
资助项目	National Key R&D Program of China[2018YFA0703800] ; National Natural Science Foundation of China[61703378] ; National Natural Science Foundation of China[61977024] ; Shu Guang project of Shanghai Municipal Education Commission ; Shanghai Education Development Foundation[17SG26] ; Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) ; US National Science Foundation[DMS-1710827]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000655245800012
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58759
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Ji-Feng
作者单位	1.China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China 2.Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Peoples R China 3.East China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Sch Math Sci, Shanghai 200241, Peoples R China 4.Univ Connecticut, Dept Math, Storrs, CT 06269 USA 5.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Inst Syst Sci, Beijing 100190, Peoples R China 6.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100149, Peoples R China
推荐引用方式 GB/T 7714	Zong, Xiaofeng,Li, Tao,Yin, George,et al. Delay Tolerance for Stable Stochastic Systems and Extensions[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2021,66(6):2604-2619.
APA	Zong, Xiaofeng,Li, Tao,Yin, George,&Zhang, Ji-Feng.(2021).Delay Tolerance for Stable Stochastic Systems and Extensions.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,66(6),2604-2619.
MLA	Zong, Xiaofeng,et al."Delay Tolerance for Stable Stochastic Systems and Extensions".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 66.6(2021):2604-2619.