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 - 2011

Publication series

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

ASJC Scopus subject areas

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

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  • 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