计算机科学
集合(抽象数据类型)
控制(管理)
代数数
矩阵乘法
过程(计算)
频道(广播)
国家(计算机科学)
基质(化学分析)
数学优化
控制理论(社会学)
数学
人工智能
算法
计算机网络
数学分析
物理
材料科学
量子力学
复合材料
量子
程序设计语言
操作系统
作者
Zhipeng Zhang,Xiaotong Jiang,Chengyi Xia
出处
期刊:Chaos
[American Institute of Physics]
日期:2024-09-01
卷期号:34 (9)
摘要
The channel delay in the game process has an important influence on its evolutionary dynamics. This paper aims to optimize the strategy game with general information delays, including the state delay in the previous work, and the control delay that is introduced for the first time to depict the time consumed by strategy propagation in reality. Specifically, the dynamics of networked evolutionary games is transformed into an algebraic form by use of the newly proposed semi-tensor product of matrices, which extends the ordinary matrix multiplication. Subsequently, according to the values of control and state delays, the strategy optimization problem can be divided into six different cases, and then via the constructed algebraic equation, we can obtain the sufficient and necessary conditions for the existence of the strategy optimization. Meanwhile, based on a reachable set method, the corresponding feedback controllers are further designed. Last, one illustrative example is taken to demonstrate the feasibility of our model. The results of this paper will be helpful to investigate the game-based control issues in the complex networked environment.
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