Category:Sliding mode
From mintOC
Solutions of model equations with state dependent switches may show a sliding mode behavior in the sense of Filippov systems [Filippov1964]Author: Filippov, A.F.
Journal: AMS Transl.
Pages: 199--231
Title: Differential Equations with discontinuous right hand side
Volume: 42
Year: 1964
. This means that at least one of the switching functions 
has infinetely many zeros on the finite time interval ![[0, t_f]](https://mintoc.de/images/math/1/6/8/1681a3464dfb0673f6901981b0cd2d20.png)
. In other words, the right hand side switches infinetely often in a finite time horizon.
References
| [Filippov1964] | Filippov, A.F. (1964): Differential Equations with discontinuous right hand side. AMS Transl., 42, 199--231 | |
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