LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals

Abstract : In this note is proposed an analogue for linear delay systems of the character- ization of asymptotic stability of the rational systems by the solvability of associated Lyapunov equation. It is shown that strong delay-independent stability of delay system is equivalent to the feasibility of certain linear matrix inequality (LMI), related to quadratic Lyapunov-Krasovskii functionals.
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Rapport
[Research Report] RR-3968, INRIA. 2000
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https://hal.inria.fr/inria-00072680
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Soumis le : mercredi 24 mai 2006 - 10:34:06
Dernière modification le : vendredi 25 mai 2018 - 12:02:04
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:18:14

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  • HAL Id : inria-00072680, version 1

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Pierre-Alexandre Bliman. LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals. [Research Report] RR-3968, INRIA. 2000. 〈inria-00072680〉

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