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Stabilisation of discrete 2D time switching systems by state feedback control

Author

Listed:
  • Abdellah Benzaouia
  • Abdelaziz Hmamed
  • Fernando Tadeo
  • Ahmed EL Hajjaji

Abstract

This article deals with sufficient conditions of asymptotic stability for discrete two-dimensional (2D) time switching systems represented by a model of Roesser type with state feedback control. This class of systems can correspond to 2D state space or 2D time space switching systems. This work is based on common and multiple Lyapunov functions. The results are presented in LMI form. Two examples are given to illustrate the results.

Suggested Citation

  • Abdellah Benzaouia & Abdelaziz Hmamed & Fernando Tadeo & Ahmed EL Hajjaji, 2011. "Stabilisation of discrete 2D time switching systems by state feedback control," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(3), pages 479-487.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:479-487
    DOI: 10.1080/00207720903576522
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    Cited by:

    1. Imran Ghous & Zhengrong Xiang, 2016. "control of a class of 2-D continuous switched delayed systems via state-dependent switching," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(2), pages 300-313, January.
    2. Fei Meng & Xuyu Shen & Xiaofeng Li, 2022. "Stability Analysis and Synthesis for 2-D Switched Systems with Random Disturbance," Mathematics, MDPI, vol. 10(5), pages 1-18, March.
    3. Guangchen Zhang & Weiqun Wang, 2017. "Finite-region stability and boundedness for discrete 2D Fornasini–Marchesini second models," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 778-787, March.

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