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Delay Tolerance for Stable Stochastic Systems and Extensions
Zong, Xiaofeng1,2; Li, Tao3; Yin, George4; Zhang, Ji-Feng5,6
2021-06-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume66Issue:6Pages:2604-2619
AbstractThis 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.
KeywordDelay multiagent system stability stochastic system
DOI10.1109/TAC.2020.3012525
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000655245800012
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58759
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Ji-Feng
Affiliation1.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
Recommended Citation
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.
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