Method of limit differential equations for nonautonomous discontinuous systems
- Autores: Finogenko I.1
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Afiliações:
- Institute of Dynamics and Control Theory, Siberian Branch
- Edição: Volume 93, Nº 1 (2016)
- Páginas: 9-12
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223345
- DOI: https://doi.org/10.1134/S1064562416010026
- ID: 223345
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Resumo
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.
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Sobre autores
I. Finogenko
Institute of Dynamics and Control Theory, Siberian Branch
Autor responsável pela correspondência
Email: fin@icc.ru
Rússia, ul. Lermontova 134, Irkutsk, 664033