Method of limit differential equations for nonautonomous discontinuous systems
- 作者: Finogenko I.1
-
隶属关系:
- Institute of Dynamics and Control Theory, Siberian Branch
- 期: 卷 93, 编号 1 (2016)
- 页面: 9-12
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223345
- DOI: https://doi.org/10.1134/S1064562416010026
- ID: 223345
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详细
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.
作者简介
I. Finogenko
Institute of Dynamics and Control Theory, Siberian Branch
编辑信件的主要联系方式.
Email: fin@icc.ru
俄罗斯联邦, ul. Lermontova 134, Irkutsk, 664033