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.


Autore Pugliese

Tutti gli autori

  • LOPEZ L.

Titolo volume/Rivista

Non Disponibile


Anno di pubblicazione

2011

ISSN

0029-599X

ISBN

Non Disponibile


Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

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Numero di citazioni Scopus

31

Ultimo Aggiornamento Citazioni

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Settori ERC

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Codici ASJC

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