A Lyapunov-Krasovskii Methodology for ISS of Time-Delay Systems

Author

Pepe, P. ; Jiang, Z.-P.

Author_Institution

Dipartimento di Ingegneria Elettrica, Università degli Studi dell´´Aquila, Monteluco di Roio, 67040 L´´Aquila, Italy, e-mail: pepe@ing.univaq.it.

fYear

2005

fDate

12-15 Dec. 2005

Firstpage

5782

Lastpage

5787

Abstract

This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability of nonlinear time-delay systems. The methodology is feasible by the use, for instance, of the M2norm (that is the norm induced by the inner product in the Hilbert space known in literature as M2, or Z) in the space of continuous functions, and by the use of functionals which have a suitable (simple) integral term with strictly increasing kernel. The proposed results can be seen as a preliminary step towards extending some existing stability criteria to nonlinear time-delay systems with disturbance inputs.

Keywords

Functional Differential Equations; Input-to-State Stability (ISS); Lyapunov-Krasovskii Theorem; Nonlinear Time-Delay Systems; Asymptotic stability; Control system synthesis; Control systems; Delay effects; Delay systems; Differential equations; Hilbert space; Kernel; Nonlinear control systems; Stability criteria; Functional Differential Equations; Input-to-State Stability (ISS); Lyapunov-Krasovskii Theorem; Nonlinear Time-Delay Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on

Print_ISBN

0-7803-9567-0

Type

conf

DOI

10.1109/CDC.2005.1583085

Filename

1583085