非线性积分微分随机系统的完全可控性

Complete Controllability of Nonlinear Integrodifferential Stochastic Systems

为了建立更一般的非线性随机系统的可控性判别准则,通过引入可控性算子和构造适当的反馈控制,利用Banach不动点定理,给出了一类中立型非线性积分微分随机系统完全可控的充分条件.研究结果表明,当非线性项和中立项的Lipschitz系数适当小时,系统仍然是完全可控的.文中还通过算例说明了结论的适用性.

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.