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Journal of Automation and Information Sciences

Publicou 12 edições por ano

ISSN Imprimir: 1064-2315

ISSN On-line: 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, Edição 11, 2008, pp. 1-11
DOI: 10.1615/JAutomatInfScien.v40.i11.10
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RESUMO

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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