具有随机扰动的Markov切换系统的有限时间稳定性分析及其控制

Fzinite Time Stability and Contool of Markov Switched Systems with Random Disturbance

针对一类具有随机扰动的Markov切换系统,研究其有限时间稳定性及其控制问题。通过多Lyapunov函数和有限时间Lyapunov函数相结合的技术,给出系统有限时间稳定的充分条件以及控制器的设计方法。仿真例子说明所提方法的有效性。

In this paper,the finite time stability and control problem of Markov switched systems with random disturbance are studied. By combining the Multiple Lyapunov functions with the finite time Lyapunov function, a sufficient condition of finite timc stability and the controller for the considered systems are giren. An example is presented to illustrate the effectireness of the proposed method.