
Liapunov Functions and Stability in Control Theory
Springer (Publisher)
Published on 28. March 2001
Book
Paperback/Softback
XI, 210 pages
978-1-85233-419-2 (ISBN)
Article exhausted; check for reprint
Description
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.
More details
Series
Edition
1st Edition.
Language
English
Place of publication
London
United Kingdom
Target group
College/higher education
Professional and scholarly
Illustrations
6 figures
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
360 gr
ISBN-13
978-1-85233-419-2 (9781852334192)
DOI
10.1007/BFb0110597
Schweitzer Classification
Other editions
New editions

Andrea Bacciotti | Lionel Rosier
Liapunov Functions and Stability in Control Theory
Book
04/2005
2nd Edition
Springer
€160.49
Shipment within 10-15 days
Content
Differential equations.- Tine invariant systems.- Time varying systems.- Differential inclusions.- Additional properties of strict Liapunov functions.- Monotonicity and generalized derivatives.