Converse Lyapunov-Krasovskii theorems for uncertain retarded differential equations - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Automatica Année : 2015

Converse Lyapunov-Krasovskii theorems for uncertain retarded differential equations

Résumé

In this article we give a collection of converse Lyapunov–Krasovskii theorems for uncertain retarded differential equations. We show that the existence of a weakly-degenerate Lyapunov–Krasovskii functional is a necessary and sufficient condition for the global exponential stability of linear retarded functional differential equations. This is carried out using a switched system representation approach.
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Dates et versions

hal-00924252 , version 1 (06-01-2014)
hal-00924252 , version 2 (08-10-2015)
hal-00924252 , version 3 (22-12-2017)

Identifiants

  • HAL Id : hal-00924252 , version 2

Citer

Ihab Haidar, Paolo Mason, Mario Sigalotti. Converse Lyapunov-Krasovskii theorems for uncertain retarded differential equations. Automatica, 2015, 62, pp.263-273. ⟨hal-00924252v2⟩
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