非线性随机时滞系统的稳定性与应用  

The Stability of Nonlinear Stochastic Delay Systems with Its Applications

作　　者：沈轶[1] 廖晓昕[1] 许晓东 李国宽 

机构地区：[1]华中理工大学自动控制工程系,武汉430074

出　　处：《控制理论与应用》2000年第1期19-22,共4页Control Theory & Applications

基　　金：国家自然科学基金!( 696740 0 8);高校博士点专项基金!( 970 4872 2 )

摘　　要：首先考虑了不确定性的一族非线性随机时滞系统 ,建立了这种系统的均方指数稳定与几乎必然指数稳定的充分准则 ,其准则是时滞无关的 ;然后应用这些充分条件到一类不确定的随机时滞神经网络 ,得到了这种神经网络指数稳定的实用判据 .本文的结果是最近文献中某些结果的推广 .In the first part of this paper we consider a family of nonlinear stochastic delay systems with uncertainties. For such systems, we establish sufficient criteria for the exponential stability in mean square and the almost sure exponential stability. These criteria are independent of delay. In the second part, we apply these sufficient conditions to a class of stochastic delay neural networks with uncertainties and obtain practical criteria to test exponential stability of these stochastic delay neural networks. Our results are generalizations of some recent ones reported in the literature. In final, a numerical example is given to illustrate the effectiveness of the obtained criteria.

关 键 词：非线性 随机时滞系统 指数稳定性 神经网络 

分 类 号：O231[理学—运筹学与控制论]