非线性滞后It(?)随机系统的滞后无关均方渐近稳定性

Mean -square Asymptotic Stability Independent of Delay of Nonlinear Delay Ito Stochastic Systems

研究非线性滞后Ito随机系统的滞后无关均方渐近稳定性,将关于线性时滞不等式的Halanay不等式推广到非线性情形,用Lyapunov函数和关于时滞随机系统的比较原理,得到了非线性滞后Ito随机系统滞后无关均方渐近稳定性的一些判据。

This paper is devoted to the investigation of mean -square asymptotic stability independent of de-lay of nonlinear delay Ito stochastic systems. The Halanay's inequality for the linear delay inequalities is gen-eralized to the nonlinear case and a criterion for the mean -square asymptotic stability independent of delay of nonlinear delay Ito stochastic systems is obtained by means of a Lyapunov function and the comparison princi-ple of solutions of delay stochastic systems.