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Reports (Research Report) Year : 2001

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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Dates and versions

inria-00072501 , version 1 (24-05-2006)

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  • HAL Id : inria-00072501 , version 1

Cite

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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