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On the stability of 2D state-space models

Authors

  • Djillali Bouagada,

    1. University Abdelhamid Ibn Badis of Mostaganem, Laboratory of Pure and Applied Mathematics, Department of Mathematics, Faculty SESN BP 227-Mostaganem 27000, Algeria
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  • Paul Van Dooren

    Corresponding author
    • CESAME, Université catholique de Louvain, Av Lemaitre 4, B-1348 Louvain-la-Neuve, Belgium
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Correspondence to: Paul Van Dooren, CESAME, Université catholique de Louvain, Av Lemaitre 4, B-1348 Louvain-la-Neuve, Belgium.

E-mail: paul.vandooren@uclouvain.be

SUMMARY

In 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.

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