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Controllability for Retarded Semilinear Neutral Control Systems of Fractional Order in Hilbert Spaces

Author

Listed:
  • Daewook Kim

    (Department of Mathematics Education, Seowon University, Cheongju 28674, Korea)

  • Jin-Mun Jeong

    (Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea)

Abstract

In this paper, we discuss the approximate controllability for a class of retarded semilinear neutral control systems of fractional order by investigating the relations between the reachable set of the semilinear retarded neutral system of fractional order and that of its corresponding linear system. The research direction used here is to find the conditions for nonlinear terms so that controllability is maintained even in perturbations. Finally, we will show a simple example to which the main result can be applied.

Suggested Citation

  • Daewook Kim & Jin-Mun Jeong, 2021. "Controllability for Retarded Semilinear Neutral Control Systems of Fractional Order in Hilbert Spaces," Mathematics, MDPI, vol. 9(6), pages 1-17, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:671-:d:521508
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    References listed on IDEAS

    as
    1. N. Sukavanam & Surendra Kumar, 2011. "Approximate Controllability of Fractional Order Semilinear Delay Systems," Journal of Optimization Theory and Applications, Springer, vol. 151(2), pages 373-384, November.
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