文章基本信息

标题：Discontinuous differential equations: comparison of solution definitions and localization of hidden Chua attractors
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作者：G.A. Leonov ; M.A. Kiseleva ; N.V. Kuznetsov 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：11
页码：408-413
DOI：10.1016/j.ifacol.2015.09.220
语种：English
出版社：Elsevier
摘要：AbstractThis paper studies a class of systems with discontinuous right-hand side, which is commonly used in various applications. The notion of discontinuous system is closely linked to the notion of differential inclusion, which was first considered by Marchaud and Zaremba. In this paper three different notions of solutions of differential equations will be considered: Filippov, Aizerman-Pyatnitskiy and Gelig-Leonov-Yakubovich solutions. For the class of systems considered in the paper it is discussed when these definitions coincide and when they differ. The application of definitions is also demonstrated by numerical modelling of hidden attractor in Chua's circuit.
关键词：Keywordsdiscontinuous systemdifferential inclusiondefinition of solutionGelig-Leonov-Yakubovich definitionFilippov definitionAizerman-Pyatnitskiy definitionChua's circuithidden attractorself-excited attractor