Converse Lyapunov Results

Iasson Karafyllis, Zhong-Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Chapter 3 is devoted to answering the following question: do Lyapunov functionals always exist for a robustly globally asymptotically output stable system? The previous Chap. 2 showed that one of the most important ways of proving stability is the derivation of estimates which guarantee appropriate stability properties by means of Lyapunov functionals. The converse Lyapunov results obtained in this chapter show that such Lyapunov functionals always exist.

Original languageEnglish (US)
Title of host publicationCommunications and Control Engineering
PublisherSpringer International Publishing
Pages123-142
Number of pages20
Edition9780857295125
DOIs
StatePublished - Jan 1 2011

Publication series

NameCommunications and Control Engineering
Number9780857295125
ISSN (Print)0178-5354
ISSN (Electronic)2197-7119

Fingerprint

Lyapunov Functionals
Converse
Lyapunov
Output
Estimate

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering
  • Control and Optimization

Cite this

Karafyllis, I., & Jiang, Z-P. (2011). Converse Lyapunov Results. In Communications and Control Engineering (9780857295125 ed., pp. 123-142). (Communications and Control Engineering; No. 9780857295125). Springer International Publishing. https://doi.org/10.1007/978-0-85729-513-2_3

Converse Lyapunov Results. / Karafyllis, Iasson; Jiang, Zhong-Ping.

Communications and Control Engineering. 9780857295125. ed. Springer International Publishing, 2011. p. 123-142 (Communications and Control Engineering; No. 9780857295125).

Research output: Chapter in Book/Report/Conference proceedingChapter

Karafyllis, I & Jiang, Z-P 2011, Converse Lyapunov Results. in Communications and Control Engineering. 9780857295125 edn, Communications and Control Engineering, no. 9780857295125, Springer International Publishing, pp. 123-142. https://doi.org/10.1007/978-0-85729-513-2_3
Karafyllis I, Jiang Z-P. Converse Lyapunov Results. In Communications and Control Engineering. 9780857295125 ed. Springer International Publishing. 2011. p. 123-142. (Communications and Control Engineering; 9780857295125). https://doi.org/10.1007/978-0-85729-513-2_3
Karafyllis, Iasson ; Jiang, Zhong-Ping. / Converse Lyapunov Results. Communications and Control Engineering. 9780857295125. ed. Springer International Publishing, 2011. pp. 123-142 (Communications and Control Engineering; 9780857295125).
@inbook{a6af8a729239429a94127a69a6c30ae1,
title = "Converse Lyapunov Results",
abstract = "Chapter 3 is devoted to answering the following question: do Lyapunov functionals always exist for a robustly globally asymptotically output stable system? The previous Chap. 2 showed that one of the most important ways of proving stability is the derivation of estimates which guarantee appropriate stability properties by means of Lyapunov functionals. The converse Lyapunov results obtained in this chapter show that such Lyapunov functionals always exist.",
author = "Iasson Karafyllis and Zhong-Ping Jiang",
year = "2011",
month = "1",
day = "1",
doi = "10.1007/978-0-85729-513-2_3",
language = "English (US)",
series = "Communications and Control Engineering",
publisher = "Springer International Publishing",
number = "9780857295125",
pages = "123--142",
booktitle = "Communications and Control Engineering",
edition = "9780857295125",

}

TY - CHAP

T1 - Converse Lyapunov Results

AU - Karafyllis, Iasson

AU - Jiang, Zhong-Ping

PY - 2011/1/1

Y1 - 2011/1/1

N2 - Chapter 3 is devoted to answering the following question: do Lyapunov functionals always exist for a robustly globally asymptotically output stable system? The previous Chap. 2 showed that one of the most important ways of proving stability is the derivation of estimates which guarantee appropriate stability properties by means of Lyapunov functionals. The converse Lyapunov results obtained in this chapter show that such Lyapunov functionals always exist.

AB - Chapter 3 is devoted to answering the following question: do Lyapunov functionals always exist for a robustly globally asymptotically output stable system? The previous Chap. 2 showed that one of the most important ways of proving stability is the derivation of estimates which guarantee appropriate stability properties by means of Lyapunov functionals. The converse Lyapunov results obtained in this chapter show that such Lyapunov functionals always exist.

UR - http://www.scopus.com/inward/record.url?scp=85042878474&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85042878474&partnerID=8YFLogxK

U2 - 10.1007/978-0-85729-513-2_3

DO - 10.1007/978-0-85729-513-2_3

M3 - Chapter

AN - SCOPUS:85042878474

T3 - Communications and Control Engineering

SP - 123

EP - 142

BT - Communications and Control Engineering

PB - Springer International Publishing

ER -