Method of limit differential equations for nonautonomous discontinuous systems
- Authors: Finogenko I.A.1
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Affiliations:
- Institute of Dynamics and Control Theory, Siberian Branch
- Issue: Vol 93, No 1 (2016)
- Pages: 9-12
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223345
- DOI: https://doi.org/10.1134/S1064562416010026
- ID: 223345
Cite item
Abstract
For nonautonomous differential equations with discontinuous right-hand sides solvable in the sense of Filippov, an analogue of LaSalle’s invariance principle is proved by using Lyapunov functions with derivatives of constant sign. The specifics of the construction of the corresponding limit differential inclusions is taken into account.
About the authors
I. A. Finogenko
Institute of Dynamics and Control Theory, Siberian Branch
Author for correspondence.
Email: fin@icc.ru
Russian Federation, ul. Lermontova 134, Irkutsk, 664033