具有非线性扰动的不确定随机时变时滞系统的鲁棒镇定（英文）

ROBUST STABILIZATION OF UNCERTAIN STOCHASTIC SYSTEMS WITH TIME-VARYING DELAY AND NONLINEARITY

本文研究了具有非线性扰动的不确定随机时变时滞系统的鲁棒镇定的问题.构造了适当的Lyapunov-Krasovskii泛函并利用自由权矩阵方法,借助于线性矩阵不等式(LMI)技术,设计了一个无记忆状态反馈控制器,并获得了不确定随机时变时滞系统的时滞依赖鲁棒镇定判据.数值例子及其仿真曲线表明所提出的理论结果是有效的.

In this paper,we study with robust stabilization problem of uncertain stochastic time-varying delay systems with nonlinear perturbation.Constructing a suitable LyapunovKrasovskii functional and employ the free weighting matrix method,in terms of the linear matrix inequality（LMI） technique,we design a memoryless state feedback controller,and obtain delay dependent robust stabilization criterion for the uncertain stochastic time-varying delay systems.A numerical example and its simulation curve are given to show that the proposed theoretical result is effective.