S. N. Chukanov, D. V. Ulyanov, “Decomposition of the vector field of control system by constructing a homotopy operator”, Probl. Upr., 2012, no. 6, 2

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Problemy Upravleniya, 2012, Issue 6, Pages 2–6 (Mi pu747)

This article is cited in 1 scientific paper (total in 1 paper)

Analysis and synthesis of control systems

Decomposition of the vector field of control system by constructing a homotopy operator

S. N. Chukanov^a, D. V. Ulyanov^b

^a Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Omsk State Technical University

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Abstract: The method for decomposition of the vector field of a dynamical system based on construction of homotopy operator is proposed. The vector fields of dynamical systems can be classified on the basis of SVD-decomposition of potential components of the vector field. The method of decomposition of dynamical system vector field is used to construct Lyapunov functions for control systems.

Keywords: vector field decomposition, control system, Lyapunov function, Hodge–Helmholtz decomposition, operator of homotopy.

Document Type: Article

UDC: 519.71

Language: Russian

Citation: S. N. Chukanov, D. V. Ulyanov, “Decomposition of the vector field of control system by constructing a homotopy operator”, Probl. Upr., 2012, no. 6, 2–6

Citation in format AMSBIB

\Bibitem{ChuUly12}

\by S.~N.~Chukanov, D.~V.~Ulyanov

\paper Decomposition of the vector field of control system by constructing a~homotopy operator

\jour Probl. Upr.

\yr 2012

\issue 6

\pages 2--6

\mathnet{http://mi.mathnet.ru/pu747}

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https://www.mathnet.ru/eng/pu747

https://www.mathnet.ru/eng/pu/v6/p2

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	273
Full-text PDF :	118
References:	39
First page:	13

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