Journal of Automation and Information Sciences
Published 12 issues per year
ISSN Print: 1064-2315
ISSN Online: 2163-9337
SJR:
0.173
SNIP:
0.588
CiteScore™::
2
Indexed in
Lyapunov Functions for Systems Satisfying Barbashin−Krasovskii Theorem Conditions
Volume 40,
Issue 11, 2008,
pp. 1-11
DOI: 10.1615/JAutomatInfScien.v40.i11.10
ABSTRACT
Lyapunov function with a derivative of fixed sign for autonomous systems that satisfy Barbashin−Krasovskii theorem condition is obtained. The proposed method of Lyapunov function construction is based on invariant relationships method. The form of the function constructed essentially depends on the structure of the set where the initial Lyapunov function derivative vanishes and also on property of sequence of functions defining this set and their derivatives. Application of the proposed method is demonstrated on a model example.
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