中文摘要：

本文对随机扰动下的一般混沌系统进行了H∞控制同步研究,其中扰动是布朗运动随机过程.基于随机李雅普诺夫稳定性理论、线性矩阵不等式、It公式以及H∞控制方法,通过设置控制器,从理论上提出了驱动系统和随机扰动下的响应系统的H∞渐近同步的新标准,这些标准形式简单且易于用Matlab实现.最后的数值模拟表明提出的理论结果的正确性和有效性.

英文摘要：

In this paper,the H∞ synchronization of general chaotic systems with random perturbations is investigated,in which perturbation is a random process of Brownian motion.Based on stochastic Lyapunov stability theory,linear matrix inequalities,and It formula and H∞ control method combined with feedback control laws,some new asymptotic synchronization schemes are established which guarantee robust stochastical mean square asymptotical synchronization for drive system and noise-perturbed response system,as well as achieving a prescribed stochastic robust H∞ performance level.These schemes are in a simple form and easy to work with Matlab.Finally,simulations show that the proposed results are correct and effective.