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Controllability of semilinear stochastic delay systems with distributed delays in control

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Abstract

This paper considers the problem of controllability for a class of semilinear stochastic delay systems with distributed delays in control. With the aid of fixed point arguments, sufficient conditions for the relative controllability of the above system are established. Examples are given to illustrate the procedure of the proposed method.

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Acknowledgements

The work of the first author is supported by the UGC-SAP (Grant No. F.510/7/DRS-1/2016 (SAP-I)) and the work of third author is supported by the UGC-BSR Faculty Fellowship.

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Authors and Affiliations

  1. Department of Mathematics, Periyar University, Salem, 636 011, India

    S. Karthikeyan & M. Sathya

  2. Department of Mathematics, Bharathiar University, Coimbatore, 641 046, India

    K. Balachandran

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  1. S. Karthikeyan
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  2. M. Sathya
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  3. K. Balachandran
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Correspondence to S. Karthikeyan.

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Karthikeyan, S., Sathya, M. & Balachandran, K. Controllability of semilinear stochastic delay systems with distributed delays in control. Math. Control Signals Syst. 29, 17 (2017). https://doi.org/10.1007/s00498-017-0206-9

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