A Lyapunov-Krasovskii methodology for iISS of time-delay systems

P. Pepe; Z. P. Jiang

doi:10.1109/cdc.2006.377199

A Lyapunov-Krasovskii methodology for iISS of time-delay systems

P. Pepe, Z. P. Jiang

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English (US)
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4206-4211
Number of pages	6
ISBN (Print)	1424401712, 9781424401710
DOIs	https://doi.org/10.1109/cdc.2006.377199
State	Published - 2006
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: Dec 13 2006 → Dec 15 2006

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	12/13/06 → 12/15/06

Keywords

Functional differential equations
Input-to-State Stability (ISS)
Integral Input-to-State Stability (iISS)
Lyapunov-Krasovskii theorem
Nonlinear time-delay systems

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/cdc.2006.377199

Cite this

A Lyapunov-Krasovskii methodology for iISS of time-delay systems. / Pepe, P.; Jiang, Z. P.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 4206-4211 4177091 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Pepe, P & Jiang, ZP 2006, A Lyapunov-Krasovskii methodology for iISS of time-delay systems. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177091, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4206-4211, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 12/13/06. https://doi.org/10.1109/cdc.2006.377199

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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 = "Functional differential equations, Input-to-State Stability (ISS), Integral Input-to-State Stability (iISS), Lyapunov-Krasovskii theorem, Nonlinear time-delay systems",

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year = "2006",

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language = "English (US)",

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series = "Proceedings of the IEEE Conference on Decision and Control",

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AB - 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.

KW - Functional differential equations

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A Lyapunov-Krasovskii methodology for iISS of time-delay systems

Abstract

Publication series

Other

Keywords

ASJC Scopus subject areas

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