On the stability of 2D state‐space models

descriptionPublicationkeyboard_double_arrow_right Article 13 Dec 2011 English Publisher:WileyJournal:Numerical Linear Algebra with Applications, volume 20, pages 198-207 (issn: 1070-5325, eissn: 1099-1506,

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Authors: Djilali Bouagada; Paul Van Dooren;

doi: 10.1002/nla.836

On the stability of 2D state‐space models

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Abstract

SUMMARYIn this paper, we consider the problem of stability of two‐dimensional linear systems. New sufficient conditions for the asymptotic stability are derived in terms of linear matrix inequalities. Copyright © 2011 John Wiley & Sons, Ltd.

Related Organizations

Université de Mostaganem
Algeria
Université Catholique de Louvain
Belgium

Keywords

multidimensional systems, Linear systems in control theory, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Fornasini Marchesini model, stability, LMI

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