The invariance principle for nonautonomous differential equations with discontinuous right-hand side
- Авторы: Finogenko I.1
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Учреждения:
- Institute of Systems Dynamics and Control Theory
- Выпуск: Том 57, № 4 (2016)
- Страницы: 715-725
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170635
- DOI: https://doi.org/10.1134/S0037446616040133
- ID: 170635
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Аннотация
We study limit differential inclusions for nonautonomous differential equations with discontinuous right-hand side and Filippov solutions. Using Lyapunov functions with derivatives of constant sign, we establish an analog of LaSalle’s invariance principle. We study differential equations with either measurable or piecewise continuous right-hand side.
Об авторах
I. Finogenko
Institute of Systems Dynamics and Control Theory
Автор, ответственный за переписку.
Email: fin@icc.ru
Россия, Irkutsk