In this work, we discuss some theoretical and numerical aspects of solving differential equations with discontinuous right-hand sides of Filippov type. In particular, (i) we propose second order corrections to the theory of Filippov, (ii) we provide a systematic and nonambiguous way to define the vector field on the intersection of several surfaces of discontinuity, and (iii) we propose, and implement, a numerical method to approximate a trajectory of systems with discontinuous right-hand sides and illustrate its performance on a few examples.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
Titolo: | Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach |
Autori: | |
Data di pubblicazione: | 2009 |
Rivista: | |
Handle: | http://hdl.handle.net/11586/11831 |
Appare nelle tipologie: | 1.1 Articolo in rivista |