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Converse Lyapunov Results

  • Iasson KarafyllisEmail author
  • Zhong-Ping Jiang
Chapter
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Part of the Communications and Control Engineering book series (CCE)

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.

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