Category:Sliding mode

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 ${\displaystyle {\sigma }_i(\cdot )}$ has infinetely many zeros on the finite time interval ${\displaystyle [0,t_f]}$. 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