Email this article Construction of Lyapunov Functions in the Form of Pencils of Quadratic Forms
- Authors: Hrod I.M.1, Kulyk V.L.2
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Affiliations:
- Hnatyuk Ternopil’ National Pedagogic University
- Silesian University of Technology
- Issue: Vol 243, No 2 (2019)
- Pages: 183-191
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243079
- DOI: https://doi.org/10.1007/s10958-019-04534-0
- ID: 243079
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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.
About the authors
I. M. Hrod
Hnatyuk Ternopil’ National Pedagogic University
Author for correspondence.
Email: grod@tnpu.edu.ua
Ukraine, Kryvonos Str., 2, Ternopil’, 46027
V. L. Kulyk
Silesian University of Technology
Email: grod@tnpu.edu.ua
Poland, Kaszubska Str., 23, Gliwice, 44-100
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