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

The paper considers first, the admissibility conditions for continuous 2 D 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.

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