Converse Lyapunov Results

Iasson Karafyllis, Zhong Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingChapter


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
Number of pages20
StatePublished - 2011

Publication series

NameCommunications and Control Engineering
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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