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On the output controllability of a class of discrete nonlinear distributed systems: a fixed point theorem approach

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Abstract

Given a desired signal \( y^d= (y^{d}_{i})_{i \in \{0,\ldots ,N \}}\), we investigate the optimal control, which applied to nonlinear discrete distributed system \( x_{i+1} = Ax_i + Ex_{i} + Bu_i\), to give a desired output \( y^d \). Techniques based on the fixed point theorems for solving this problem are presented. An example and numerical simulation is also given.

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Acknowledgements

The authors would like to thank all the members of the Editorial Board who were responsible of this paper, and the anonymous referees for their valuable comments and suggestions to improve the content of this paper. This work is supported by the Morocco Systems Theory Network.

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Authors and Affiliations

  1. Laboratory of Modeling, Analysis, Control and Statistics, Department of Mathematics and Computer Science, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, 5366, Maarif, Casablanca, Morocco

    Mustapha Lhous

  2. Laboratory of Analysis Modelling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, 7955, Sidi Othman, Casablanca, Morocco

    Mostafa Rachik & Jamal Bouyaghroumni

  3. Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al-Ain, United Arab Emirates

    Abdessamad Tridane

Authors
  1. Mustapha Lhous
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  2. Mostafa Rachik
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  3. Jamal Bouyaghroumni
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  4. Abdessamad Tridane
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Correspondence to Mustapha Lhous.

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Lhous, M., Rachik, M., Bouyaghroumni, J. et al. On the output controllability of a class of discrete nonlinear distributed systems: a fixed point theorem approach. Int. J. Dynam. Control 6, 768–777 (2018). https://doi.org/10.1007/s40435-017-0315-9

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  • DOI: https://doi.org/10.1007/s40435-017-0315-9

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