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

摘要

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. Copyright (c) 2015 John Wiley & Sons, Ltd.