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Abstract
Many dynamical systems are modeled as second order differential systems. In this paper we address the problem of controllability for second order semilinear stochastic systems in finite dimensional spaces. Sufficient criteria for the complete controllability are formulated under some appropriate assumptions. The results are obtained by using the Banach fixed point theorem. Finally an illustrative example is provided.
Acknowledgements
The authors would like to thank the referees for their valuable comments and useful suggestions.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
The research of S. Karthikeyan was supported by the University Grants Commission F.510/7/DRS-1/2016 (SAP-I) and the research of J.-H. Kim was supported by the National Research Foundation of Korea NRF-2013R1A1A2A10006693.