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New Approach to Stability Analysis for Uncertain 2-D Continuous Systems

Said Kririm, Abdelaziz Hmamed

Abstract


presented in this paper, when the uncertainty is polytopic. Robust stability is guaranteed by the existence of homogeneous polynomially parameter-dependent Lyapunov functions of arbitrary degree on the uncertain parameters. These functions are obtained from a feasible solution of a set of Linear Matrix Inequalities (LMIs), formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results.

Keywords


2-D continuous systems, Robust stability, Homogeneous polynomially parameterdependent Lyapunov functions, Linear matrix inequalities (LMIs), polytopic uncertainty, Roesser model.

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