Approximate controllability of impulsive neutral stochastic functional differential system with state-dependent delay in Hilbert spaces

被引：17

作者：

Muthukumar P. ^{[1
]}

Rajivganthi C. ^{[1
]}

机构：

[1] Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram

来源：

Journal of Control Theory and Applications | 2013年 / 11卷 / 3期

关键词：

Approximate controllability; Hilbert space; Impulsive neutral stochastic functional differential system; Sadovskii's fixed point theorem; Semigroup theory;

D O I：

10.1007/s11768-013-2061-7

中图分类号：

学科分类号：

摘要：

Many practical systems in physical and technical sciences have impulsive dynamical behaviors during the evolution process which can be modeled by impulsive differential equations. In this paper, we prove the approximate controllability of control systems governed by a class of impulsive neutral stochastic functional differential system with state-dependent delay in Hilbert spaces. Sufficient conditions for approximate controllability of the control systems are established under the natural assumption that the corresponding linear system is approximately controllable. The results are obtained by using semigroup theory, stochastic analysis techniques, fixed point approach and abstract phase space axioms. An example is provided to illustrate the application of the obtained results. © 2013 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：351 / 358

页数：7

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