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Lyapunov Equation for the Stability of Linear Delay Systems of Retarded and Neutral Type

Abstract : In this note is studied the delay-independent stability of delay systems. It is shown that the strong delay-independent stability is tantamount to the feasibility of certain linear matrix inequality, or equivalently to the existence of certain quadratic Lyapunov-Krasovskii functional, independent of the (nonnegative) value of the delay. This constitutes the analogue of some well-known properties of finite-dimensional systems. This result is then applied to study delay-independent stability of systems with commensurate delays, delay-independent stabilizability, and delay-indepen- dent stability of systems with polytopic uncertainties.
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https://hal.inria.fr/inria-00072501
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:08:29 AM
Last modification on : Friday, May 25, 2018 - 12:02:04 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:10:37 PM

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  • HAL Id : inria-00072501, version 1

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Pierre-Alexandre Bliman. Lyapunov Equation for the Stability of Linear Delay Systems of Retarded and Neutral Type. [Research Report] RR-4127, INRIA. 2001. ⟨inria-00072501⟩

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