Method of limit differential equations for nonautonomous discontinuous systems
- Авторы: Finogenko I.1
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Учреждения:
- Institute of Dynamics and Control Theory, Siberian Branch
- Выпуск: Том 93, № 1 (2016)
- Страницы: 9-12
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223345
- DOI: https://doi.org/10.1134/S1064562416010026
- ID: 223345
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Аннотация
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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Об авторах
I. Finogenko
Institute of Dynamics and Control Theory, Siberian Branch
Автор, ответственный за переписку.
Email: fin@icc.ru
Россия, ul. Lermontova 134, Irkutsk, 664033