Admissibility and stabilization of singular continuous 2D systems described by Roesser model

  • Laila DamiEmail author
  • Mohamed Benhayoun
  • Abdellah Benzaouia


The paper considers first, the admissibility conditions for continuous 2D systems represented by Roesser model by dealing with non-strict LMIs. Secondly, admissibility and stabilization conditions using strict LMIs conditions are investigated. For these strict LMIs conditions, necessary and sufficient conditions can be directly solved with LMI toolbox since they are more traceable and reliable in numerical simulation than non-strict conditions presented in the first part of the paper, that are extracted basing on existed results. Finally, a real plant model of a transmission line is used to validate the proposed theoretical results.


2D systems Singular systems Stability Stabilization Admissibility Linear matrix inequality (LMI



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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.LAEPT, Department of PhysicsUniversity Cadi AyyadMarrakeshMorocco

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