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| Received:March 21, 2012Revised:October 08, 2012 |
| 基金项目:This work was supported by Indo-US Science and Technology Forum (IUSSTF), New Delhi, India and UGC Special Assistance Programme (SAP) DRS-II, University Grants Commission, New Delhi, India (No. F.510/2/DRS/2009(SAP-I)). |
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| Approximate controllability of impulsive neutral stochastic functional differential system with state-dependent delay in Hilbert spaces |
| P. MUTHUKUMAR,C. RAJIVGANTHI |
| (Department of Mathematics, Gandhigram Rural Institute-Deemed University) |
| Abstract: |
| 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. |
| Key words: Approximate controllability Hilbert space Impulsive neutral stochastic functional differential system Semigroup theory Sadovskii’s fixed point theorem |
