Email this article The invariance principle for nonautonomous differential equations with discontinuous right-hand side
- Authors: Finogenko I.A.1
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Affiliations:
- Institute of Systems Dynamics and Control Theory
- Issue: Vol 57, No 4 (2016)
- Pages: 715-725
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170635
- DOI: https://doi.org/10.1134/S0037446616040133
- ID: 170635
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Abstract
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.
About the authors
I. A. Finogenko
Institute of Systems Dynamics and Control Theory
Author for correspondence.
Email: fin@icc.ru
Russian Federation, Irkutsk
