Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface

We consider Filippov sliding motion on a co-dimension 2 discontinuity surface. We give conditions under which Σ is attractive through sliding which are sharper than those given in a previous paper of ours. Under these sharper conditions, we show that the sliding vector field considered in the same paper is still uniquely defined and varies smoothly in x∈Σ. A numerical example illustrates our results.

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Year of publication:	2015
Authors:	Dieci, L. ; Elia, C. ; Lopez, L.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 110.2015, C, p. 3-14
Publisher:	Elsevier
Subject:	Piecewise smooth systems \| Filippov sliding modes \| Discontinuity surface \| Co-dimension 2 \| Attractivity

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011264171