LMI stability test for multidimensional linear state–space models

Elosmani, Aissa Omar;Bouagada, Djillali;Van Dooren, Paul;Benyettou, Kamel
(2021) Journal of Computational and Applied Mathematics — Vol. 390, p. 113363 (2021)

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Authors
  • Elosmani, Aissa OmarUniversity of Sciences and Technology-Oran Mohamed Boudiaf, Algeria
    Author
  • Bouagada, Djillaliorcid-logoAbdelhamid Ibn Badis University of Mostaganem, Algeria
    Author
  • Van Dooren, PaulUCLouvain
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  • Benyettou, Kamelorcid-logoAbdelhamid Ibn Badis University of Mostaganem, Algeria
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Abstract
Stability is a basic property of dynamical systems. In this paper we analyze the stability of multidimensional systems and present new sufficient conditions for the asymptotic stability in terms of linear matrix inequalities. We treat both the discrete-time and continuous-time cases and also propose variants that require linear matrix inequalities of more moderate size.
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Elosmani, A. O., Bouagada, D., Van Dooren, P., & Benyettou, K. (2021). LMI stability test for multidimensional linear state–space models. Journal of Computational and Applied Mathematics, 390, 113363. https://doi.org/10.1016/j.cam.2020.113363 (Original work published 2021)