LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems

A. Hmamed, M. Alfidi, A. Benzaouia and F. Tadeo

Mathematical Problems in Engineering, 2008, vol. 2008, 1-11

Abstract:

Robust stability conditions are derived for uncertain 2D linear discrete-time systems, described by Fornasini-Marchesini second models with polytopic uncertainty. Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities, formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:356124

DOI: 10.1155/2008/356124

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