Category:Sliding mode: Difference between revisions

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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 $σ_{i} (\cdot)$ 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.

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

	== References ==		== References ==