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Minimum Energy Control of Fractional Linear Systems Using Caputo-Fabrizio Derivative

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Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 243))

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Abstract

We investigate regional controllability for time fractional diffusion systems of Caputo–Fabrizio type. The problem is studied via Hilbert uniqueness method (HUM) introduced by J. L. Lions in 1988. The used approach allow us to characterize the control of minimum energy.

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Acknowledgements

This work has been carried out with a grant from Hassan II Academy of Sciences and Technology project N\(^\circ \) 630/2016.

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Authors and Affiliations

  1. TSI Team, MACS Laboratory, Department of Mathematics and Computer Science, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco

    Touria Karite & Ali Boutoulout

  2. Department of Mathematics and Statistics, University of Swat, Swat, Pakistan

    Amir Khan

Authors
  1. Touria Karite
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  2. Ali Boutoulout
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  3. Amir Khan
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Corresponding author

Correspondence to Touria Karite .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Moulay Ismail University, Zitoune Meknès, Morocco

    El Hassan Zerrik

  2. Department of Mathematics, Sultan Moulay Slimane University, Beni Mellal, Morocco

    Said Melliani

  3. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

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Karite, T., Boutoulout, A., Khan, A. (2020). Minimum Energy Control of Fractional Linear Systems Using Caputo-Fabrizio Derivative. In: Zerrik, E., Melliani, S., Castillo, O. (eds) Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications. Studies in Systems, Decision and Control, vol 243. Springer, Cham. https://doi.org/10.1007/978-3-030-26149-8_10

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