Category:Sliding mode: Difference between revisions
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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 < | 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 == | ||
< | <biblist /> | ||
[[Category:Solution characterization]] | [[Category:Solution characterization]] | ||
Latest revision as of 10:10, 23 January 2016
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 . 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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