Category:Path-constrained arcs - Revision history

JonasSchulze: Text replacement - "" to ""

2016-01-23T10:10:59Z

Text replacement - "<bibreferences/>" to "<biblist />"

← Older revision		Revision as of 10:10, 23 January 2016
Line 2:		Line 2:

	== References ==		== References ==
	<~~bibreferences~~/>		<biblist />

	[[Category:Solution characterization]]		[[Category:Solution characterization]]

JonasSchulze: Text replacement - "\(.*)\<\/bibref\>" to ""

2016-01-20T17:54:23Z

Text replacement - "\<bibref\>(.*)\<\/bibref\>" to "<bib id="$1" />"

← Older revision		Revision as of 17:54, 20 January 2016
Line 1:		Line 1:
	Whenever a path constraint is active, i.e., it holds <math>c_i(x(t)) = 0 \; \forall \; t \in [t^\text{start}, t^\text{end}] \subseteq [0, t_f]</math>, and no continuous control <math>u(\cdot)</math> can be determined to compensate for the changes in <math>x(\cdot)</math>, naturally <math>\alpha(\cdot)</math> needs to do so by taking values in the interior of its feasible domain. An illustrating example has been given in <~~bibref>~~Sager2009</~~bibref~~>, where velocity limitations for the energy-optimal operation of New York subway trains are taken into account. The optimal integer solution does only exist in the limit case of infinite switching (Zeno behavior), or when a tolerance is given.		Whenever a path constraint is active, i.e., it holds <math>c_i(x(t)) = 0 \; \forall \; t \in [t^\text{start}, t^\text{end}] \subseteq [0, t_f]</math>, and no continuous control <math>u(\cdot)</math> can be determined to compensate for the changes in <math>x(\cdot)</math>, naturally <math>\alpha(\cdot)</math> needs to do so by taking values in the interior of its feasible domain. An illustrating example has been given in <bib id="Sager2009" />, where velocity limitations for the energy-optimal operation of New York subway trains are taken into account. The optimal integer solution does only exist in the limit case of infinite switching (Zeno behavior), or when a tolerance is given.

	== References ==		== References ==

SebastianSager: Initial setup of IMA paper text

2010-11-20T12:26:27Z

Initial setup of IMA paper text

New page

Whenever a path constraint is active, i.e., it holds <math>c_i(x(t)) = 0 \; \forall \; t \in [t^\text{start}, t^\text{end}] \subseteq [0, t_f]</math>, and no continuous control <math>u(\cdot)</math> can be determined to compensate for the changes in <math>x(\cdot)</math>, naturally <math>\alpha(\cdot)</math> needs to do so by taking values in the interior of its feasible domain. An illustrating example has been given in <bibref>Sager2009</bibref>, where velocity limitations for the energy-optimal operation of New York subway trains are taken into account. The optimal integer solution does only exist in the limit case of infinite switching (Zeno behavior), or when a tolerance is given.

== References ==
<bibreferences/>

[[Category:Solution characterization]]