Stochastic Consentability of Linear Systems With Time Delays and Multiplicative Noises

doi:10.1109/TAC.2017.2732823

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	Stochastic Consentability of Linear Systems With Time Delays and Multiplicative Noises
	Zong, Xiaofeng 1,2; Li, Tao 3,4; Yin, George 5; Wang, Le Yi 6; Zhang, Ji-Feng7,8
	2018-04-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	63 期号:4 页码:1059-1074
摘要	This 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.
关键词	Consentability consensus multiagent system multiplicative noise time delay
DOI	10.1109/TAC.2017.2732823
语种	英语
资助项目	National 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研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000429056000011
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/30104
专题	系统科学研究所
通讯作者	Yin, George
作者单位	1.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
推荐引用方式 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.