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

Katedra Matematyki (RMS/RMS1)

Ternopil Volodymyr Hnatyuk National Pedagogical University

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

Abstrakt

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.

Język oryginału	angielski
Strony (od–do)	183-191
Liczba stron	9
Czasopismo	Journal of Mathematical Sciences (United States)
Tom	243
Numer wydania	2
Identyfikatory DOI	https://doi.org/10.1007/s10958-019-04534-0
Status publikacji	Opublikowano - 1 lis 2019

Obszary tematyczne ASJC Scopus

Statystyka i prawdopodobieństwo
Matematyka ogólna
Matematyka stosowana

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10.1007/s10958-019-04534-0

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Cytowanie

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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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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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DO - 10.1007/s10958-019-04534-0

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AN - SCOPUS:85074466843

SN - 1072-3374

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JO - Journal of Mathematical Sciences (United States)

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IS - 2

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

Abstrakt

Obszary tematyczne ASJC Scopus

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