Stability and Robust Stabilization of 2-D Continuous Systems in Roesser Model Based on GKYP Lemma

Ismail Errachid, Abdelaziz Hmamed


This paper is concerned with the stability and Robust stabilization problem for 2-D continuous systems in Roesser model, based on Generalized Kalman$-$Yakubovich$-$Popov lemma in combination with frequency-partitioning approach. Sufficient conditions of stability of the systems are formulated via linear matrix inequality technique. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

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