具有分离变量的非线性随机时滞相关系统的鲁棒稳定

摘要

本文研究一类具有分离变量的非线性随机不确定系统的稳定性问题.采用线性矩阵不等式(LMI)和Lyapunov-Krasovskii泛函的方法,获得了局部指数稳定性的时滞盯关性判据.仿真结果证明了结论的可行性和优越性.%Nonlinear and uncertain stochastic delay systems with separated variables are considered in this paper.By usingrn Linear Matrix Inequality (LMI) method and Lyapunov- Krasovskii functional approach, a robust delay-dependent criterion is obtained to ensure locally exponential stability in mean square of the uncertain nonlinear stochastic delay systems.