Title :
Stability conditions for linear continuous time difference systems with discrete and distributed delay
Author :
Melchor-Aguilar, Daniel
Author_Institution :
Div. de Mat. Aplic., IPICYT, San Luis Potosí, Mexico
Abstract :
In this paper, we consider some classes of continuous time difference systems with discrete and distributed delay terms. For these infinite-dimensional systems we derive sufficient delay-dependent conditions for the exponential stability by using Lyapunov-Krasovskii functionals.
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; delays; linear systems; multidimensional systems; Lyapunov-Krasovskii functionals; discrete delay; distributed delay; exponential stability; infinite-dimensional systems; linear continuous time difference systems; stability conditions; Asymptotic stability; Delay; Differential equations; Equations; Linear matrix inequalities; Stability analysis; Vectors; Lyapunov-Krasovskii functionals; continuous time difference systems; exponential stability;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161485