Sliding motion on discontinuity surfaces of high co-dimension. A construction for selection a Filippov vector field
Abstract
In this paper we consider the issue of sliding motion in Filippov systems on the intersection of two or more surfaces. To this end, we propose an extension of the Filippov sliding vector field on manifolds of co-dimension p, with p a parts per thousand yen 2. Our model passes through the use of a multivalued sign function reformulation. To justify our proposal, we will restrict to cases where the sliding manifold is attractive. For the case of co-dimension p = 2, we will distinguish between two types of attractive sliding manifold: "node-like" and "spiral-like". The case of node-like attractive manifold will be further extended to the case of p a parts per thousand yen 3. Finally, we compare our model to other existing methodologies on some examples.
Anno di pubblicazione
2011
ISSN
0029-599X
ISBN
Non Disponibile
Numero di citazioni Wos
Nessuna citazione
Ultimo Aggiornamento Citazioni
Non Disponibile
Numero di citazioni Scopus
31
Ultimo Aggiornamento Citazioni
Non Disponibile
Settori ERC
Non Disponibile
Codici ASJC
Non Disponibile
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