中立随机马尔科夫跳变系统延迟反馈控制器设计

摘要

This paper is concerned with the problem of delay state feedback control for neutral stochastic Markovian jump systems (NSMJSs) with time-varying delays.The main aim is to design mode-dependent delay state feedback controller both in the drift part and in the diffusion part to realize the closed-loop NSMJS is stochastically stable.By constructing mode-dependent Lyapunov-Krasovskii functional, the stabilization conditions are provided in terms of linear matrix inequalities.Simulation example is employed to demonstrate the validity and usefulness of the proposed method.%本文研究了具有时变时滞的中立随机马尔科夫跳变系统的延迟状态反馈控制问题.主要目标是在漂移项和扩散项部分都设计模态相依的延迟状态反馈控制器使得闭环中立随机马尔科夫跳变系统满足随机稳定.通过构造模态相依的Lyapunov-Krasovskii候选泛函,借助线性矩阵不等式技术,得到了闭环中立随机马尔科夫跳变系统随机稳定的充分条件.仿真例子说明了所采用的方法的有效性和实用性.