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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

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Lyapunov Functions for Systems Satisfying Barbashin−Krasovskii Theorem Conditions

Volume 40, Issue 11, 2008, pp. 1-11
DOI: 10.1615/JAutomatInfScien.v40.i11.10
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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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