International Journal of Systems Science ( IF 4.3 ) Pub Date : 2020-10-15 , DOI: 10.1080/00207721.2020.1831646 Jianjun Wang 1, 2 , Renato De Leone 1 , Shihua Fu 2 , Jianwei Xia 2 , Lishan Qiao 2
This paper investigates the dynamics and control problem for a class of networked evolutionary games with time invariant delay (DNEGs) in strategies by using a semi-tensor product based method. A number of new results are presented. First, algebraic forms are constructed for DNEGs. Second, based on the algebraic formulations, necessary and sufficient conditions for the global convergence of desired strategy profile are presented under a state feedback event-triggered controller. Furthermore, the constructive procedure and the number of all valid event-triggered state feedback controllers are derived, which can make the game converge globally. Finally, an illustrative example is given to show the effectiveness of the obtained results.
中文翻译:
策略具有时间不变时延的网络进化游戏的事件触发控制设计
本文采用基于半张量积的方法研究了一类具有时不变时延(DNEG)的网络演化博弈的动力学和控制问题。提出了许多新结果。首先,为DNEG构造代数形式。其次,基于代数公式,在状态反馈事件触发的控制器下提出了所需策略配置文件的全局收敛的必要和充分条件。此外,推导了构造过程和所有有效的事件触发状态反馈控制器的数量,这可以使游戏全局收敛。最后,给出一个说明性的例子来说明所获得结果的有效性。