Construction of Lyapunov Functions in the Form of Pencils of Quadratic Forms

I. M. Hrod; V. L. Kulyk

doi:10.1007/s10958-019-04534-0

Construction of Lyapunov Functions in the Form of Pencils of Quadratic Forms

I. M. Hrod
, V. L. Kulyk

Department of Mathematics (RMS/RMS1)

Ternopil Volodymyr Hnatyuk National Pedagogical University

Research output: Contribution to journal › Article › peer-review

Abstract

By using the method of alternating Lyapunov functions, we investigate the problem of regularity of linear extensions of dynamical systems on manifolds. The structures of Lyapunov functions are constructed in the form of pencils of quadratic forms.

Original language	English
Pages (from-to)	183-191
Number of pages	9
Journal	Journal of Mathematical Sciences (United States)
Volume	243
Issue number	2
DOIs	https://doi.org/10.1007/s10958-019-04534-0
Publication status	Published - 1 Nov 2019

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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title = "Construction of Lyapunov Functions in the Form of Pencils of Quadratic Forms",

abstract = "By using the method of alternating Lyapunov functions, we investigate the problem of regularity of linear extensions of dynamical systems on manifolds. The structures of Lyapunov functions are constructed in the form of pencils of quadratic forms.",

author = "Hrod, \{I. M.\} and Kulyk, \{V. L.\}",

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AU - Kulyk, V. L.

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N2 - By using the method of alternating Lyapunov functions, we investigate the problem of regularity of linear extensions of dynamical systems on manifolds. The structures of Lyapunov functions are constructed in the form of pencils of quadratic forms.

AB - By using the method of alternating Lyapunov functions, we investigate the problem of regularity of linear extensions of dynamical systems on manifolds. The structures of Lyapunov functions are constructed in the form of pencils of quadratic forms.

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JO - Journal of Mathematical Sciences (United States)

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Construction of Lyapunov Functions in the Form of Pencils of Quadratic Forms

Abstract

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