From STP to game-based control

doi:10.1007/s11432-017-9265-2

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	From STP to game-based control
	Cheng, Daizhan 1; Qi, Hongsheng 1,2; Liu, Zequn 1,2; Qi Hongsheng; Cheng Daizhan
刊名	SCIENCE CHINA-INFORMATION SCIENCES
	2018
卷号	61 期号:1 页码:19
关键词	semi-tensor product of matrices Boolean network logical (control) system finite game game theoretic control
ISSN号	1674-733X
DOI	10.1007/s11432-017-9265-2
英文摘要	This paper provides a comprehensive survey on semi-tensor product (STP) of matrices and its applications to different disciplines. First of all, the STP and its basic properties are introduced. Meanwhile, its inside physical meaning is explained. Second, its application to conventional dynamic systems is presented. As an example, the region of attraction of stable equilibriums is discussed. Third, its application to logical systems is presented. Particularly, the algebraic state space representation of logical systems and the important role it plays in analysis and control of logical systems are emphasized. Fourth, its application to finite games is discussed. The most interesting problems include potential game, evolutionary game, and game theoretic control. Finally, the mathematical essence of STP is briefly introduced.
资助项目	National Natural Science Foundation of China (NSFC)[61333001] ; National Natural Science Foundation of China (NSFC)[61773371] ; National Natural Science Foundation of China (NSFC)[61733018]
WOS研究方向	Computer Science ; Engineering
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000423634400007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29450]
专题	系统科学研究所
通讯作者	Cheng, Daizhan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Daizhan,Qi, Hongsheng,Liu, Zequn,et al. From STP to game-based control[J]. SCIENCE CHINA-INFORMATION SCIENCES,2018,61(1):19.
APA	Cheng, Daizhan,Qi, Hongsheng,Liu, Zequn,Qi Hongsheng,&Cheng Daizhan.(2018).From STP to game-based control.SCIENCE CHINA-INFORMATION SCIENCES,61(1),19.
MLA	Cheng, Daizhan,et al."From STP to game-based control".SCIENCE CHINA-INFORMATION SCIENCES 61.1(2018):19.