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Null Controllability of Networks Systems

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Abstract

The aim of this paper is to study the null controllability of an abstract boundary linear control systems. We then transform the problem of the null controllability, where the control operator is unbounded, to a problem of the null controllability, where the control operator is bounded. An application to flows in networks controlled in a single vertex is applied, where a characterization of the null controllability is given by a matrix equality. Moreover, the construction of the control function is specified. Illustrative numerical examples are further provided.

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Acknowledgements

The authors gratefully thank the referee for the constructive comments and recommendations which definitely help to improve the readability and quality of the paper.

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Authors and Affiliations

  1. LIMA, Département STIN, Ecole Nationale des Sciences Appliquées, BP 1166, 2400, El Jadida, Morocco

    Mohamed El Azzouzi

  2. LIMA, Département de Mathématiques, Faculté des Sciences, BP 20, 24000, El Jadida, Morocco

    Abdellah Lourini & Mohamed Laabissi

Authors
  1. Mohamed El Azzouzi
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  2. Abdellah Lourini
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  3. Mohamed Laabissi
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Correspondence to Mohamed El Azzouzi.

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El Azzouzi, M., Lourini, A. & Laabissi, M. Null Controllability of Networks Systems. J Dyn Control Syst 29, 855–872 (2023). https://doi.org/10.1007/s10883-022-09623-z

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  • DOI: https://doi.org/10.1007/s10883-022-09623-z

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