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Fractional order stochastic dynamical systems with distributed delayed control and Poisson jumps

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  • Control and Synchronization of Fractional Order Systems with Time Delay
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Abstract

In this paper, we study the controllability results for nonlinear fractional order stochastic dynamical systems with distributed delayed control and Poisson jumps in finite dimensional space. New set of sufficient conditions are derived based on Schauder’s fixed point theorem and the controllability Grammian matrix is defined by Mittag-Leffler matrix function. Finally, a numerical example has been given to validate the efficiency of the proposed theoretical results.

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Authors and Affiliations

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

    T. Sathiyaraj & P. Balasubramaniam

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

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Sathiyaraj, T., Balasubramaniam, P. Fractional order stochastic dynamical systems with distributed delayed control and Poisson jumps. Eur. Phys. J. Spec. Top. 225, 83–96 (2016). https://doi.org/10.1140/epjst/e2016-02613-0

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  • DOI: https://doi.org/10.1140/epjst/e2016-02613-0

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