KMS Of Academy of mathematics and systems sciences, CAS
Delay Tolerance for Stable Stochastic Systems and Extensions | |
Zong, Xiaofeng1,2; Li, Tao3; Yin, George4; Zhang, Ji-Feng5,6 | |
2021-06-01 | |
Source Publication | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
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ISSN | 0018-9286 |
Volume | 66Issue:6Pages:2604-2619 |
Abstract | 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. |
Keyword | Delay multiagent system stability stochastic system |
DOI | 10.1109/TAC.2020.3012525 |
Indexed By | SCI |
Language | 英语 |
Funding Project | 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 Research Area | Automation & Control Systems ; Engineering |
WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
WOS ID | WOS:000655245800012 |
Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58759 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Zhang, Ji-Feng |
Affiliation | 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 |
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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