LMI Conditions for Robust Stability of 2D Linear Discrete‐Time Systems | Zendy

Abdelaziz Hmamed | Zendy; Mohammed Alfidi | Zendy; Abdellah Benzaouia | Zendy; Fernando Tadeo | Zendy

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

Author(s) -

Abdelaziz Hmamed,

Mohammed Alfidi,

Abdellah Benzaouia,

Fernando Tadeo

Publication year - 2008

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2008/356124

Subject(s) - polytope , mathematics , linear matrix inequality , lyapunov function , stability (learning theory) , discrete time and continuous time , set (abstract data type) , control theory (sociology) , matrix (chemical analysis) , linear system , mathematical optimization , computer science , nonlinear system , mathematical analysis , discrete mathematics , statistics , control (management) , physics , materials science , quantum mechanics , machine learning , artificial intelligence , composite material , programming language

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

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