MISC

2019年1月19日

A characterization of Filippov vector fields

  • Tomoharu Suda

記述言語
掲載種別
機関テクニカルレポート,技術報告書,プレプリント等

Filippov&#039;s method is widely used in the literature to define vector fields on<br />
a discontinuity set of piecewise-continuous vector fields. However, it is not<br />
the only definition that has been proposed, and its theoretical assumptions are<br />
not well understood. The aim of this paper is to characterize Filippov&#039;s method<br />
such that its appropriateness can be examined. First, we provide a general<br />
formulation of sliding vector fields, and then characterize the Filippov vector<br />
field in terms of geometric and dynamical conditions via elementary methods.<br />
Our results show that the Filippov vector field follows from reasonable<br />
requirements as a generalization of continuous vector fields.

リンク情報
arXiv
http://arxiv.org/abs/arXiv:1901.06333
URL
http://arxiv.org/abs/1901.06333v2

エクスポート
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