DocumentCode
2239233
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
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
4640
Lastpage
4645
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4738741
Filename
4738741
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