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


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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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I. Hrod

Hnatyuk Ternopil’ National Pedagogic University

编辑信件的主要联系方式.
Email: grod@tnpu.edu.ua
乌克兰, Kryvonos Str., 2, Ternopil’, 46027

V. Kulyk

Silesian University of Technology

Email: grod@tnpu.edu.ua
波兰, Kaszubska Str., 23, Gliwice, 44-100

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