Title :
A New Lyapunov-Krasovskii Methodology for Coupled Delay Differential Difference Equations
Author :
Pepe, P. ; Jiang, Z.-P. ; Fridman, E.
Author_Institution :
Dipt. di Ingegneria Elettrica, Univ. degli Studi dell´´Aquila, L´´Aquila
Abstract :
In this paper a new Lyapunov-Krasovskii methodology for nonlinear coupled delay differential difference equations is proposed. This methodology is based on the concept of input-to-state stability applied to the difference equation, for which a sufficient Lyapunov criterion is given, and on previous methodologies developed in the literature for linear delay descriptor systems
Keywords :
Lyapunov methods; delay-differential systems; difference equations; nonlinear differential equations; stability; Lyapunov criterion; Lyapunov-Krasovskii methodology; continuous time difference equation; input-to-state stability; nonlinear coupled delay differential difference equation; nonlinear time delay system; Asymptotic stability; Coupling circuits; Delay lines; Delay systems; Difference equations; Nonlinear equations; Propagation delay; Stability analysis; Stability criteria; USA Councils; Continuous Time Difference Equations; Input-to-State Stability; Lyapunov´s Second Method; Nonlinear Time Delay Systems;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377198
