Stability of linear continuous-time difference equations with distributed delay: Constructive exponential estimates

Sérine Damak (1) , Michaël Di Loreto (1) , Sabine Mondié (2)

1 MIS - Ampère, Département Méthodes pour l'Ingénierie des Systèmes
2 CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional

This paper is concerned with the construction of exponential estimates for a class of systems governed by continuous-time difference equations with distributed delay. With the Lyapunov–Krasovskii approach, we propose sufficient conditions for exponential stability, with numerical constructive estimates. A conservatism analysis is made to illustrate the improvement of these stability conditions with respect to conditions already presented in the literature.

Mots clés: time-delay systems; stability; Lyapunov–Krasovskii approach

Domaines: Automatique / Robotique

Sérine Damak, Michaël Di Loreto, Sabine Mondié. Stability of linear continuous-time difference equations with distributed delay: Constructive exponential estimates. International Journal of Robust and Nonlinear Control, 2015, 25, pp.3195-3209. ⟨10.1002/rnc.3249⟩. ⟨hal-01256045⟩