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