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Pré-Publication, Document De Travail Année : 2014

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 the linear retarded functional differential equations. This is carried out using the switched system transformation 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 1

Citer

Ihab Haidar, Paolo Mason, Mario Sigalotti. Converse Lyapunov-Krasovskii theorems for uncertain retarded differential equations. 2014. ⟨hal-00924252v1⟩
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