Lecture Notes in Control and Information Sciences

Liapunov Functions and Stability in Control Theory

Authors: Bacciotti, Andrea, Rosier, Lionel

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About this book

The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control (boundedness of state evolution with respect to bounded inputs, stabilization by feedback). Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • The eBook version of this title will be available soon
  • ISBN 978-1-84628-817-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Liapunov Functions and Stability in Control Theory
Authors
Series Title
Lecture Notes in Control and Information Sciences
Series Volume
267
Copyright
2001
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84628-817-3
DOI
10.1007/BFb0110597
Series ISSN
0170-8643
Edition Number
1
Number of Pages
XI, 210
Topics