一类含分布时滞的不确定随机中立型系统的随机鲁棒镇定  

Robust Stochastic Stabilization for Uncertain Neutral Stochastic System with Distributed Delays and Nonlinear Perturbations

作　　者：汪慧[1] 袁玲[1] WANG Hui;YUAN Ling(Department of General Education,Anhui Xinhua University,Hefei 230088,China)

机构地区：[1]安徽新华学院通识教育部,合肥230088

出　　处：《德州学院学报》2017年第6期35-41,共7页Journal of Dezhou University

基　　金：安徽省自然科学基金(KJ2015A308;kj2016A307);安徽省新华学院自然科学研究(2016zr011);安徽省新华学院重点项目(2017jy008)

摘　　要：通过讨论一类在非线性干扰下具有分布时滞的不确定随机中立型系统的随机鲁棒镇定.运用随机lyapunov稳定性理论及Ito^微分法,求解线性矩阵不等式,推导出含有时不变中立时滞、时变分布时滞、离散时滞以及不确定参数和非线性干扰是有界范数的中立型系统鲁棒随机镇定的充分条件,最后给出数值算例验证此方法的准确性和可行性.This paper is concerned with the problem of robust stochastic stabilization for uncertain neutral stochastic system with distributed delays and nonlinear perturbations.A class of new model transformation and a corresponding lyapunov-krasorskii function is introduced to solve the stability problem of uncertain neutral system with discrete and distributed time-varying delays.The parameter uncertainties and norm-bound of nonlinear perturbations are assumed.Based on the stability theory of stochastic systems,a suffi-cient condition for robust stochastic stabilization is obtained in terms of linear matrix inequality(LMI).Then,a numerical example is given to illustrate the effectiveness and the feasibility of the proposed meth-od.

关 键 词：随机中立型系统 分布时滞 非线性干扰 鲁棒随机镇定 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]