Category:Sliding mode

Solutions of model equations with state dependent switches may show a sliding mode behavior in the sense of Filippov systems <bibref>Filippov1964</bibref>. This means that at least one of the switching functions $\sigma_i(\cdot)$ has infinetely many zeros on the finite time interval $[0, t_f]$ . In other words, the right hand side switches infinetely often in a finite time horizon.