A comparison of Filippov sliding vector fields in codimension 2

作者：Dieci Luca^*; Difonzo Fabio

来源：Journal of Computational and Applied Mathematics, 2014, 262: 161-179.

DOI：10.1016/j.cam.2013.10.055

• Piecewise smooth systems
• Filippov sliding motion
• Codimension 2
• Barycentric coordinates

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.

• 出版日期2014-5-15