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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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https://hal.inria.fr/inria-00072680
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:34:06 AM
Last modification on : Friday, May 25, 2018 - 12:02:04 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:18:14 PM

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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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