Stability and Stabilization of State-Based Games

被引：0

作者：

Wang, Jinhuan ^{[1
]}

Wu, Han ^{[1
]}

机构：

[1] Hebei Univ Technol, Inst Math, Sch Sci, Tianjin 300401, Peoples R China

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2025年 / 55卷 / 01期

关键词：

Games; Linear matrix inequalities; Convergence; Vectors; Stability criteria; Numerical stability; Thermal stability; Switches; Probabilistic logic; State feedback; recurrent state equilibria; semi-tensor product (STP) of matrices; stabilization; state-based game (SBG); JUMP BOOLEAN CONTROL; NETWORKS; CONTROLLABILITY; REACHABILITY; FRAMEWORK;

D O I：

10.1109/TSMC.2024.3489968

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, the convergence of state-based games (SBGs) with recurrent state equilibria is considered by the semi-tensor product of matrices. First, the state-action profile distribution is obtained by the proposed whole evolution equation of the state and the action profile. Second, two necessary and sufficient conditions are given to ensure the convergence of the SBGs, one of which is the matrix iteration condition and the other is a set of linear matrix inequalities. Then, the finite-time stabilization with probability one of the SBGs can be implemented by designing state feedback control. Finally, numerical simulations are given to verify the correctness of the theoretical results.

引用

页码：609 / 619

页数：11

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