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Controllability of Nonlinear Fractional Neutral Stochastic Dynamical Systems with Poisson Jumps

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Mathematical Analysis and its Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 143))

Abstract

This paper is concerned with the controllability of fractional neutral stochastic dynamical systems with Poisson jumps in the finite dimensional space. Sufficient conditions for controllability results are obtained by using Krasnoselskii’s fixed point theorem. The controllability Grammian matrix is defined by Mittag-Leffler matrix function.

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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.

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Authors and Affiliations

  1. Gandhigram Rural Institute-Deemed University, Gandhigram, 624 302, Tamil Nadu, India

    T. Sathiyaraj & P. Balasubramaniam

Authors
  1. T. Sathiyaraj
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  2. P. Balasubramaniam
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Corresponding author

Correspondence to P. Balasubramaniam .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    P. N. Agrawal

  2. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    R. N. Mohapatra

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Uaday Singh

  4. Dept. of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    H. M. Srivastava

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Sathiyaraj, T., Balasubramaniam, P. (2015). Controllability of Nonlinear Fractional Neutral Stochastic Dynamical Systems with Poisson Jumps . In: Agrawal, P., Mohapatra, R., Singh, U., Srivastava, H. (eds) Mathematical Analysis and its Applications. Springer Proceedings in Mathematics & Statistics, vol 143. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2485-3_35

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