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Stochastic Consentability of Linear Systems With Time Delays and Multiplicative Noises
Zong, Xiaofeng1,2; Li, Tao3,4; Yin, George5; Wang, Le Yi6; Zhang, Ji-Feng7,8
2018-04-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume63Issue:4Pages:1059-1074
AbstractThis paper develops stochastic consentability of linear multiagent systems with time delays and multiplicative noises. First, the stochastic stability for stochastic differential delay equations driven by multiplicative noises is examined, and the existence of the positive definite solution for a class of generalized algebraic Riccati equations (GAREs) is established. Then, sufficient conditions are deduced for the mean square and almost sure consentability and stabilization based on the developed stochastic stability and GAREs. Consensus protocols are designed for linear multiagent systems with undirected and leader-following topologies. It is revealed that multiagent consentability depends on certain characterizing system parameters, including linear system dynamics, communication graph, channel uncertainties, and time delay of the deterministic term. It is shown that a second-order integrator multiagent system is unconditionally mean square and almost surely consentable for any given noise intensities and time delay, and that the mean square and almost sure consensus can be achieved by carefully choosing the control gain according to certain explicit conditions.
KeywordConsentability consensus multiagent system multiplicative noise time delay
DOI10.1109/TAC.2017.2732823
Language英语
Funding ProjectNational Natural Science Foundation of China[61522310] ; Shanghai Rising-Star Program[15QA1402000] ; National Key Basic Research Programof China (973 Program)[2014CB845301] ; Fundamental Research Funds for the Central Universities ; China University of Geosciences (Wuhan)[CUG170610] ; U.S. Air Force Office of Scientific Research[FA9550-15-1-0131]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000429056000011
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30104
Collection系统科学研究所
Affiliation1.China Univ Geosci, Sch Automat, Wuhan 430074, Hubei, Peoples R China
2.Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Hubei, Peoples R China
3.Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200072, Peoples R China
4.East China Normal Univ, Dept Math, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China
5.Wayne State Univ, Dept Math, Detroit, MI 48202 USA
6.Wayne State Univ, Dept Elect & Comp Engn, Detroit, MI 48202 USA
7.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
8.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. Stochastic Consentability of Linear Systems With Time Delays and Multiplicative Noises[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2018,63(4):1059-1074.
APA Zong, Xiaofeng,Li, Tao,Yin, George,Wang, Le Yi,&Zhang, Ji-Feng.(2018).Stochastic Consentability of Linear Systems With Time Delays and Multiplicative Noises.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,63(4),1059-1074.
MLA Zong, Xiaofeng,et al."Stochastic Consentability of Linear Systems With Time Delays and Multiplicative Noises".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 63.4(2018):1059-1074.
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