Stability of linear continuous‐time difference equations with distributed delay: Constructive exponential estimates |
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| Authors: | Sérine Damak Michael Di Loreto Sabine Mondié |
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| Affiliation: | 1. Université de Lyon, INSA‐Lyon, Laboratoire Ampère UMR CNRS 5005, Villeurbanne 69621, France;2. Departamento de Control Automatico, Av. Instituto Politecnico Nacional 2508, Mexico D.F., Mexico |
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| Abstract: | 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 © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | time‐delay systems stability Lyapunov– Krasovskii approach |
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