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STABILIZABILITY OF GAME-BASED CONTROL SYSTEMS

文献类型：期刊论文

作者Zhang, Renren1; Guo, L. E., I2
刊名SIAM JOURNAL ON CONTROL AND OPTIMIZATION
出版日期2021
卷号59期号:5页码:3999-4023
关键词game-based control system (GBCS) Nash equilibrium stabilizable algebraic Riccati equation (ARE) algebraic Riccati inequality (ARI)
ISSN号0363-0129
DOI10.1137/20M133587X
英文摘要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.
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
语种英语
WOS记录号WOS:000713005700035
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59516]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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