一类含时滞和非线性扰动项的不确定随机微分大系统的稳定性

Stability of a Class of Uncertain Large-scale Stochastic Differential Systems with Delay and Nonlinear Perturbations

研究一类具有时滞和非线性扰动项的不确定随机微分大系统的稳定性.通过建立常数变易公式,利用不等式分析技巧及非负矩阵的性质,建立判别这类系统稳定性的充分条件.结论移除了对非线性项范数有界的限制,使得结果更加一般,扩大了应用范围.最后用2个数值例子阐述结果的有效性.

This paper is devoted to the investigation of the stability for a class of uncertain large-scale stochastic differential systems with delay under nonlinear perturbations.By establishing constant variant formula,using the properties of nonnegative matrices and inequality technique,sufficient conditions for determining the stability of the system are obtained.The norm bounded restriction on non-linear perturbations in the existing method is removed.The resulting criterion has advantages over previous ones in that it has less conservatism and enlarges the scope of application.The main results are illustrated by two examples.