| 引用本文: | 陈向勇,曹进德,赵峰,姜晓伟.基于事件驱动控制的混杂动态博弈系统的纳什均衡分析[J].控制理论与应用,2021,38(11):1801~1808.[点击复制] |
| CHEN Xiang-yong,CAO Jin-de,ZHAO Feng,JIANG Xiao-wei.Nash equilibrium analysis of hybrid dynamic games system based on event-triggered control[J].Control Theory and Technology,2021,38(11):1801~1808.[点击复制] |
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| 基于事件驱动控制的混杂动态博弈系统的纳什均衡分析 |
| Nash equilibrium analysis of hybrid dynamic games system based on event-triggered control |
| 摘要点击 1725 全文点击 491 投稿时间：2021-08-25 修订日期：2021-11-13 |
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| DOI编号 10.7641/CTA.2021.10789 |
| 2021,38(11):1801-1808 |
| 中文关键词 事件驱动控制 混杂动态博弈 纳什均衡 Lanchester方程 |
| 英文关键词 event-triggered control hybrid dynamic games Nash equilibrium Lanchester equation |
| 基金项目 国家自然科学基金项目(12026235, 12026234, 62173175), 高等学校学科创新引智计划项目(B17040), 山东省自然科学基金项目(ZR2019BF045, ZR2019MF021, ZR2019QF004); 山东省高等学校科研计划项目(J18KA354). |
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| 中文摘要 |
| 本文研究了基于事件驱动控制的混杂动态博弈系统的纳什均衡分析问题. 首先, 分析了事件驱动机制对混
杂动态博弈过程的影响, 进而, 在进行状态空间描述的基础上, 给出了混杂动态博弈的纳什均衡的定义, 并建立了对
应博弈系统的策略型模型. 其次, 结合Lanchester方程, 分别讨论了两类混杂动态博弈系统的均衡问题, 包括事件驱
动策略设计和固定的情况, 获得了均衡解存在的必要条件. 最后, 通过数值模拟进行了应用分析, 验证了所取得结果
的合理性和科学性, 并总结了混杂动态博弈研究的未来工作. |
| 英文摘要 |
| This paper studies the Nash equilibrium analysis and application of event-triggered hybrid dynamic games
system. Firstly, we consider the influence of event driven mechanism on the process of hybrid dynamic games. Then, by
summarizing the state space model of hybrid dynamic games, the definition of Nash equilibrium is given, and the strategic
model of corresponding game system is established. Secondly, combined with Lanchester equation, the equilibrium problems
of two kinds of event driven hybrid dynamic games are discussed, including event driven strategy design and fixed
case, and the necessary conditions for the existence of equilibrium solutions are obtained. Finally, the application analysis
is carried out through numerical simulation, which verifies the rationality and scientificity of the results, and summarizes
the future research work of hybrid dynamic games. |
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