关键词: 随机系统, 可控性, Banach不动点定理

Abstract:

In order to establish criteria for the controllability of general nonlinear stochastic systems,the sufficient condition for the complete controllability of a class of neutral nonlinear integrodifferential stochastic systems is determined by introducing a controllability operator,constructing suitable feedback control and using the Banach fixed-point theorem.The results show that the systems are completely controllable when the Lipschitz coefficients of nonlinear and neutral terms are both small enough.The applicability of the obtained results is finally verified by an example.

Key words: stochastic systems, controllability, Banach fixed-point theorem