Stability conditions for integral delay systems |
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| Authors: | Daniel Melchor‐Aguilar Vladimir Kharitonov Rogelio Lozano |
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| Affiliation: | 1. Division of Applied Mathematics, IPICYT, 78216, San Luis Potosí, SLP, México;2. Faculty of Applied Mathematics and Control Theory, Sankt‐Petersburg State University, Sankt‐Petersburg, Russia;3. HEUDIASYC UMR 6599, Centre de Recherches de Royallieu, 60205 Compiègne, Cedex, France |
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| Abstract: | In this paper we consider a special class of integral delay systems arising in several stability problems of time‐delay systems. For these integral systems we derive stability and robust stability conditions in terms of Lyapunov–Krasovskii functionals. More explicitly, after providing the stability conditions we compute quadratic functionals and apply them to derive exponential estimates for solutions, and robust stability conditions for perturbed integral delay systems. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | integral delay systems Lyapunov– Krasovskii functionals stability robust stability |
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