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

P. Pepe; Z. P. Jiang

doi:10.1016/j.sysconle.2006.06.013

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

P. Pepe, Z. P. Jiang

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability and 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.

Original language	English (US)
Pages (from-to)	1006-1014
Number of pages	9
Journal	Systems and Control Letters
Volume	55
Issue number	12
DOIs	https://doi.org/10.1016/j.sysconle.2006.06.013
State	Published - Dec 2006

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
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.sysconle.2006.06.013

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title = "A Lyapunov-Krasovskii methodology for ISS and iISS of time-delay systems",

abstract = "This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability and 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.",

keywords = "Functional differential equations, Input-to-state stability (ISS), Integral input-to-state stability (iISS), Lyapunov-Krasovskii theorem, Nonlinear time-delay systems",

author = "P. Pepe and Jiang, {Z. P.}",

note = "Funding Information: This work is supported in part by the US National Science Foundation under Grants INT-9987317, ECS-0093176 and DMS-0504462, and by a contribution from the Italian MIUR. The work was accomplished when the first author was visiting the Polythechnic University. The first author wishes to thank the US National Science Foundation for the supporting fellowship and the Polytechnic University for exciting cultural exchange and warm hospitality.",

year = "2006",

month = dec,

doi = "10.1016/j.sysconle.2006.06.013",

language = "English (US)",

volume = "55",

pages = "1006--1014",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier B.V.",

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T1 - A Lyapunov-Krasovskii methodology for ISS and iISS of time-delay systems

AU - Pepe, P.

AU - Jiang, Z. P.

N1 - Funding Information: This work is supported in part by the US National Science Foundation under Grants INT-9987317, ECS-0093176 and DMS-0504462, and by a contribution from the Italian MIUR. The work was accomplished when the first author was visiting the Polythechnic University. The first author wishes to thank the US National Science Foundation for the supporting fellowship and the Polytechnic University for exciting cultural exchange and warm hospitality.

PY - 2006/12

Y1 - 2006/12

N2 - This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability and 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.

AB - This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability and 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.

KW - Functional differential equations

KW - Input-to-state stability (ISS)

KW - Integral input-to-state stability (iISS)

KW - Lyapunov-Krasovskii theorem

KW - Nonlinear time-delay systems

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SN - 0167-6911

VL - 55

SP - 1006

EP - 1014

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 12

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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