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Article Dans Une Revue Journal Européen des Systèmes Automatisés (JESA) Année : 1997

Stability of linear systems with delayed state An LMI approach

Résumé

This paper focuses on the problem of asymptotic stability of a class of time-delay systems described by linear delayed state equations involving several constant (or time-varying), but unknown delays. A sufficient delays-dependent stability condition of the considered system is given using a Lyapunov-Razumikhin function approach, Futhermore, by transforming the stability problem into a linear matrix inequality optimisation problem, the approach adopted here allows the computation of a suboptimal largest ellipsoidal stability region in the delays parameter space such that the asymptotic stability of the time-delay system is ensured.
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Dates et versions

hal-02301671 , version 1 (30-09-2019)

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  • HAL Id : hal-02301671 , version 1

Citer

Silviu-Iulian Niculescu, Jean-Michel Dion, Luc Dugard, Huaizhong Li. Stability of linear systems with delayed state An LMI approach. Journal Européen des Systèmes Automatisés (JESA), 1997, 31 (6), pp.955-969. ⟨hal-02301671⟩
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