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Rapport (Rapport De Recherche) Année : 2016

D1.1 -Overview of Lyapunov methods for time-delay systems

Résumé

This manuscript presents a recent overview of time-delay systems as described in the proposal of the ANR project SCIDIS. After a brief description of the various problems arising in the study of such a class of infinite dimensional systems, we recall the main tools employed in the literature to address stability using a time domain approach, mainly the Lyapunov-Krasovskii theorem. The report lists, for instance, the class of delay systems that have been mainly dealt with in the literature, possible selections for the Lyapunov-Krasovskii functional candidate, and some integral and matrix inequalities that have been mainly provided by the participant to the SCIDIS project. Finally, several examples of time-delay systems are considered and demonstrate the potentials of the recent advances in this field.
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Dates et versions

hal-01369516 , version 1 (21-09-2016)

Identifiants

  • HAL Id : hal-01369516 , version 1

Citer

Alexandre Seuret, Frédéric Gouaisbaut, Lucie Baudouin. D1.1 -Overview of Lyapunov methods for time-delay systems. [Research Report] Rapport LAAS n°16308, LAAS-CNRS. 2016. ⟨hal-01369516⟩
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