Title :
Relation between Exponential Stability and Input-to-State Stability of Time-Delay Systems
Author :
Yeganefar, Nader ; Dambrine, Michel ; Yeganefar, Nader
Author_Institution :
Ecole Centrale de Lille, Villeneuve-d´´Ascq
Abstract :
The main contribution of this paper is to establish a link between the exponential stability of an unforced system and the input-to-state stability (ISS) via the Lyapunov-Krasovskii methodology. A new theorem is provided, which proves that an unforced system whose trivial solution is exponentially stable is input-to-state stable if submitted to a perturbation which can be of an arbitrary size.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; Lyapunov-Krasovskii methodology; exponential stability; input-to-state stability; time-delay systems; unforced system; Cities and towns; Communication system control; Control systems; Equations; Manipulators; Networked control systems; Robot control; Robot sensing systems; Stability; Exponential Stability; Input-to-State Stability; Lyapunov-Krasovskii Theorem; Nonlinear Time-Delay Systems;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282609
