Enviar artigo por via de e-mail The invariance principle for nonautonomous differential equations with discontinuous right-hand side
- Autores: Finogenko I.1
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Afiliações:
- Institute of Systems Dynamics and Control Theory
- Edição: Volume 57, Nº 4 (2016)
- Páginas: 715-725
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170635
- DOI: https://doi.org/10.1134/S0037446616040133
- ID: 170635
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Resumo
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.
Sobre autores
I. Finogenko
Institute of Systems Dynamics and Control Theory
Autor responsável pela correspondência
Email: fin@icc.ru
Rússia, Irkutsk
