A comparison of Filippov sliding vector fields in codimension 2

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• 作者：Luca Dieci ; Fabio Difonzo
• 关键词：35L ; 65L
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：15 May, 2014
• 年：2014
• 卷：262
• 期：Complete
• 页码：161-179
• 全文大小：684 K

文摘

We consider several possibilities on how to select a Filippov sliding vector field on a codimension 2 singularity surface , intersection of two codimension 1 surfaces. We discuss and compare several, old and new, approaches, under the assumption that is nodally attractive. Of specific interest is the selection of a smoothly varying Filippov sliding vector field. As a result of our analysis and experiments, the best candidates of the many possibilities explored are those based on the so-called barycentric coordinates. In the present context, one of these possibilities appear to be new.