A comparison of Filippov sliding vector fields in codimension 2

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:262

Article; Proceedings Paper

Dieci, Luca¹  Difonzo, Fabio¹ 

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

关键词: Piecewise smooth systems;    Filippov sliding motion;    Codimension 2;    Barycentric coordinates;   

DOI  :  10.1016/j.cam.2013.10.055

来源: Elsevier

【 摘 要 】

We consider several possibilities on how to select a Filippov sliding vector field on a codimension 2 singularity surface Sigma, intersection of two codimension 1 surfaces. We discuss and compare several, old and new, approaches, under the assumption that Sigma 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. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free