Semi-tensor Product Method to A Class of Event-Triggered Control for Finite Evolutionary Networked Games
Semi-tensor Product Method to A Class of Event-Triggered Control for Finite Evolutionary Networked Games
复制标题
一类有限演化网络博弈事件触发控制的半张量积法
DOI：
10.1049/iet-cta.2017.0014
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发表时间：
2017
影响因子：
2.6
通讯作者：
Hayat Tasawar
中科院分区：
文献类型：
--
作者：
Peilian Guo;Huaxiang Zhang;Alsaadi Fuad E.;Hayat Tasawar
利用矩阵的半张量积的方法，研究了一类有限演化网络博弈的事件触发控制，其中该控制只在某些特定的个体状态下工作。首先，通过将“控制不起作用”识别为一种新的特定控制策略，将受控游戏动力学转换为代数形式。其次，为了使对策全局收敛，得到了事件触发控制存在的两个充要条件。同时，提出了设计状态反馈控制策略的构造性步骤，并给出了最小化控制次数的调整方法。最后，用数值方法对理论结果进行了说明。
Using the approach of semi-tensor product of matrices, this study studies a class of event-triggered control for finite evolutionary networked games, where the control only works at some certain individual states. First, by identifying `control does not work' as a new specific control strategy, the controlled game dynamics is converted into an algebraic form. Second, to make the game converge globally, two necessary and sufficient conditions for the existence of event-triggered control are obtained. Meanwhile, a constructive procedure is proposed to design state feedback control strategy and an adjustment method is presented to minimise the control times. Finally, the developed theory results are illustrated by a numerical method.