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- Title
演化博弈的鲁棒稳定与镇定.
- Authors
赵荣; 冯俊娥
- Abstract
This paper investigates the stability and stabilization problems of evolutionary games with disturbances. First, based on several concepts, including disturbed game, controlled-disturbed game and robust Nash equilibrium, the definitions of robust stability and stabilization of disturbed evolutionary game and controlled-disturbed evolutionary game are specified, respectively. Second, by virtue of semi-tensor product, the algebraic state space representation of disturbed evolutionary game and controlled-disturbed evolutionary game are derived. Meanwhile, the robust stability and stabilization problems are converted into the set stability and set stabilization problems of an auxiliary system. Then, necessary and sufficient conditions for the robust stability and stabilization problems are presented, and the state feedback controller is designed as well. Finally, two examples are given to verify the effectiveness of the obtained results.
- Subjects
ALGEBRAIC spaces; NASH equilibrium; STATE feedback (Feedback control systems); MATRIX inequalities; MATRIX multiplications; GAMES
- Publication
Control Theory & Applications / Kongzhi Lilun Yu Yinyong, 2021, Vol 38, Issue 11, p1793
- ISSN
1000-8152
- Publication type
Article
- DOI
10.7641/CTA.2021.10716