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Null Controllability of Nonlinear Fractional Stochastic Large-Scale Neutral Systems

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Abstract

This paper is concerned with the problem of null controllability of the newly constructed nonlinear fractional stochastic large-scale neutral systems in the finite dimensional space. In particular, a new set of sufficient conditions are derived based on the concepts of null controllability and under the proved result of the corresponding linear system is null controllable. The results are established by means of the controllability Grammian matrix which is defined by Mittag-Leffler matrix function, Schauder fixed point theorem and the stochastic analysis approach. Finally, an example is provided to illustrate the obtained theoretical result with numerical simulation.

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Acknowledgments

The work of authors are supported by Council of Scientific and Industrial Research, Extramural Research Division, Pusa, New Delhi, India under the grant No. 25/(0217)/13/EMR-II. The authors are grateful to the Editor and anonymous reviewers for their insightful comments and constructive suggestions to improve the quality of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, The Gandhigram Rural Institute—Deemed University, Gandhigram, Dindigul, 624 302, Tamil Nadu, India

    T. Sathiyaraj & P. Balasubramaniam

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  1. T. Sathiyaraj
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  2. P. Balasubramaniam
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Correspondence to P. Balasubramaniam.

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Sathiyaraj, T., Balasubramaniam, P. Null Controllability of Nonlinear Fractional Stochastic Large-Scale Neutral Systems. Differ Equ Dyn Syst 27, 515–528 (2019). https://doi.org/10.1007/s12591-016-0277-y

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