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From STP to game-based control
Cheng, Daizhan1; Qi, Hongsheng1,2; Liu, Zequn1,2
AbstractThis 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.
Keywordsemi-tensor product of matrices Boolean network logical (control) system finite game game theoretic control
Funding ProjectNational Natural Science Foundation of China (NSFC)[61333001] ; National Natural Science Foundation of China (NSFC)[61773371] ; National Natural Science Foundation of China (NSFC)[61733018]
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Information Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000423634400007
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Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.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
Recommended Citation
GB/T 7714
Cheng, Daizhan,Qi, Hongsheng,Liu, Zequn. From STP to game-based control[J]. SCIENCE CHINA-INFORMATION SCIENCES,2018,61(1):19.
APA Cheng, Daizhan,Qi, Hongsheng,&Liu, Zequn.(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.
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