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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v32.i10.30
pages 18-25

Stabilization of Non-Autonomous Systems with Respect to a Part of Variables by Means of Controlled Lyapunov Functions

Alexander L. Zuev
Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine, Donetsk, Ukraine

要約

The problem about stabilization of a non-autonomous system with respect to a part of variables by means of Lyapunov functions having a negatively defined lower boundary of derivatives is investigated. A theorem on stabilization of non-autonomous system in a sense of differential inclusions is proved. The theorem obtained extends Arstrein theorem to the case of partial stabilization. The constructive feedback design is proposed for linear in control non-autonomous systems provided that there exists a controlled Lyapunov function with respect to a part of variables. For the case of autonomous systems the theorem on partial stabilization under weaker conditions on Lyapunov function is proved.


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