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- W2077245514 abstract "We consider sliding motion, in the sense of Filippov, on a discontinuity surface Σ of co-dimension 2. We characterize, and restrict to, the case of Σ being attractive through sliding . In this situation, we show that a certain Filippov sliding vector field f F (suggested in Alexander and Seidman, 1998 [2] , di Bernardo et al., 2008 [6] , Dieci and Lopez, 2011 [10] ) exists and is unique. We also propose a characterization of first order exit conditions , clarify its relation to generic co-dimension 1 losses of attractivity for Σ , and examine what happens to the dynamics on Σ for the aforementioned vector field f F . Examples illustrate our results." @default.
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- W2077245514 date "2013-02-01" @default.
- W2077245514 modified "2023-10-12" @default.
- W2077245514 title "A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis" @default.
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- W2077245514 doi "https://doi.org/10.1016/j.jde.2012.11.007" @default.
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