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Published in:
Introduction to Control Systems Read chapter Read first chapter

2011 | OriginalPaper | Chapter

3. Converse Lyapunov Results

Authors : Iasson Karafyllis, Zhong-Ping Jiang

Published in: Stability and Stabilization of Nonlinear Systems

Publisher: Springer London

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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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previous chapter Internal Stability: Notions and Characterizations
next chapter External Stability: Notions and Characterizations
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Metadata
Title
Converse Lyapunov Results
Authors
Iasson Karafyllis
Zhong-Ping Jiang
Copyright Year
2011
Publisher
Springer London
Book
Stability and Stabilization of Nonlinear Systems

Print ISBN: 978-0-85729-512-5

Electronic ISBN: 978-0-85729-513-2

Copyright Year: 2011

DOI
https://doi.org/10.1007/978-0-85729-513-2_3