收稿日期: 2009-07-07
修回日期: 2009-09-02
网络出版日期: 2010-06-25
基金资助
国家自然科学基金资助项目(60874114)
Complete Controllability of Nonlinear Integrodifferential Stochastic Systems
Received date: 2009-07-07
Revised date: 2009-09-02
Online published: 2010-06-25
Supported by
国家自然科学基金资助项目(60874114)
关键词: 随机系统; 可控性; Banach不动点定理
戴喜生 邓飞其 . 非线性积分微分随机系统的完全可控性[J]. 华南理工大学学报(自然科学版), 2010 , 38(6) : 55 -59 . DOI: 10.3969/j.issn.1000-565X.2010.06.011
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
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