STABILIZABILITY OF GAME-BASED CONTROL SYSTEMS

doi:10.1137/20M133587X

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	STABILIZABILITY OF GAME-BASED CONTROL SYSTEMS
	Zhang, Renren 1; Guo, L. E., I 2
	2021
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	59 期号:5 页码:3999-4023
摘要	We investigate the stabilizability of Nash equilibrium of the linear-quadratic game based control system (GBCS), which was first introduced to model control systems whose structures involve rational agents, such as social, economic, and ``intelligent"" systems. The GBCS has a hierarchical decision-making structure: one regulator and multiple rational agents. The regulator is regarded as the global controller and makes the decision first, and then the agents try to optimize their respective objective functions to reach a possible Nash equilibrium as a result of noncooperative dynamic games. The stabilizability problem is whether the regulator can stabilize the system by regulating the Nash equilibrium formed by the agents at the lower level. In this paper, we will first formulate the stabilizability problem of the linear-quadratic GBCS. Some explicit necessary and (or) sufficient algebraic conditions on the stabilizability of GBCS are given by investigating the solvability relationship between the associated algebraic Riccati equations (AREs), the algebraic Riccati inequalities (ARIs), and the linear-quadratic differential games, which is a key technical difficulty of this paper.
关键词	game-based control system (GBCS) Nash equilibrium stabilizable algebraic Riccati equation (ARE) algebraic Riccati inequality (ARI)
DOI	10.1137/20M133587X
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11688101] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDA27000000]
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000713005700035
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59517
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Renren
作者单位	1.Shandong Univ, Res Ctr Math & Interdisciplinary Sci, Jinan 266237, Shandong, Peoples R China 2.Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Renren,Guo, L. E., I. STABILIZABILITY OF GAME-BASED CONTROL SYSTEMS[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2021,59(5):3999-4023.
APA	Zhang, Renren,&Guo, L. E., I.(2021).STABILIZABILITY OF GAME-BASED CONTROL SYSTEMS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,59(5),3999-4023.
MLA	Zhang, Renren,et al."STABILIZABILITY OF GAME-BASED CONTROL SYSTEMS".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 59.5(2021):3999-4023.