Title :
A Lyapunov-Krasovskii Methodology for iISS of Time-Delay Systems
Author :
Pepe, P. ; Jiang, Z.-P.
Author_Institution :
Dipt. di Ingegneria Elettrica, Universita degli Studi dell´´Aquila, L´´Aquila
Abstract :
This paper presents a Lyapunov-Krasovskii methodology for studying the integral input-to-state stability of nonlinear time-delay systems. An integral input-state estimate which takes into account non-zero initial conditions is also proposed. The results are applied to a large class of bilinear time-delay systems
Keywords :
Lyapunov methods; delay systems; nonlinear systems; stability; Lyapunov-Krasovskii methodology; bilinear time-delay systems; functional differential equation; integral input-to-state stability; nonlinear time-delay system; nonzero initial condition; Asymptotic stability; Control systems; Delay; Hilbert space; Integral equations; Kernel; Nonlinear equations; Nonlinear systems; State estimation; USA Councils; Functional Differential Equations; Input-to-State Stability (ISS); Integral Input-to-State Stability (iISS); Lyapunov-Krasovskii Theorem; 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.2006.377199
