Title :
A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations
Author :
Pepe, P. ; Karafyllis, I. ; Jiang, Z.-P.
Author_Institution :
Univ. degli Studi dell´´Aquila, L´´Aquila
Abstract :
The input-to-state stability of time invariant systems described by coupled delay differential and difference equations is here investigated. A new Liapunov-Krasovskii theorem to check such type of stability is proved. An example taken from the literature, concerning an electrical circuit, is reported, showing the effectiveness of the methodology.
Keywords :
delay-differential systems; delays; difference equations; differential equations; stability; ISS; Liapunov-Krasovskii theorem; coupled delay differential equations; difference equations; input-to-state stability; time invariant systems; Circuit stability; Control systems; Coupling circuits; Delay effects; Delay systems; Difference equations; Differential equations; Nonlinear equations; Time invariant systems; USA Councils; Functional Differential Equations; Input-to-State Stability (ISS); Liapunov-Krasovskii Theorem; Nonlinear Time-Delay Systems;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434273
