Cooperative Stabilization for Linear Switched Systems With Asynchronous Switching
研究了一类线性切换系统在异步切换下的协同镇定问题，提出了一种基于新型切换信号的全局渐近稳定条件，允许李雅普诺夫函数在模式识别和正常工作期间都增加，但通过增加衰减来保证整体下降。
This paper investigates the cooperative stabilization problem for a class of linear switched systems under asynchronous switching. Based on a novel class of switching signals which prevail over the traditional average dwell time scheme, a sufficient condition of global asymptotic stability is proposed for the considered system. Unlike the existing results, the provided condition permits the Lyapunov-like function to increase not only in the period of mode-identifying process but also in normal-working period with matched controller. Compensating the increment by an increased decrement, the proposed approach can guarantee the decrease of the Lyapunov-like function from a whole perspective. Moreover, the solvability condition is established as well to obtain the gains for corresponding controllers. Finally, a simulation example is provided to verify the validity of the presented method.