Title :
Stability and robust stability of integral delay systems
Author :
Melchor-Aguilar, Daniel ; Kharitonov, Vladimir ; Lozano, Rogelio
Author_Institution :
Div. of Appl. Math., IPICyT, Luis Potose, Mexico
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.
Keywords :
Lyapunov methods; delays; robust control; Lyapunov-Krasovskii functionals; perturbed integral delay systems; quadratic functionals; robust stability; time-delay systems; Control systems; Control theory; Delay estimation; Delay systems; Differential equations; Integral equations; Mathematics; Robust stability; Stability analysis; State estimation; Lyapunov-Krasovskii functionals; integral delay systems; robust stability; stability;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738741
