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Controllability of Nonlinear Fractional Delay Dynamical Systems with Multiple Delays in Control

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Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

Abstract

This paper describes the controllability of nonlinear fractional delay dynamical systems with multiple delays in control. Necessary and sufficient conditions for the controllability criteria for linear fractional delay system are established. Further sufficient conditions for the controllability of nonlinear fractional delay system are obtained by using fixed point arguments. Examples are provided to illustrate the results.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, India

    Krishnan Balachandran

Authors
  1. Krishnan Balachandran
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Corresponding author

Correspondence to Krishnan Balachandran .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Artur Babiarz

  2. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Adam Czornik

  3. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Jerzy Klamka

  4. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Michał Niezabitowski

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Balachandran, K. (2017). Controllability of Nonlinear Fractional Delay Dynamical Systems with Multiple Delays in Control. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_29

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

  • eBook Packages: EngineeringEngineering (R0)

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