Category:Periodic - Revision history

SebastianSager at 11:52, 20 November 2010

2010-11-20T11:52:19Z

← Older revision		Revision as of 11:52, 20 November 2010
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	This is a category with all control problems that seek ~~for~~ periodic solutions, i.e., a condition of the kind		This is a category with all control problems that seek periodic solutions, i.e., a condition of the kind

	<math>		<center><math>
	x~~(0)~~ = P(x(t_f))		\Gamma[x] = P(x(t_f)) - x(t_0) = 0,
	</math>		</math></center>

	has to hold. <math>P(\cdot)</math> is an operation that allows, e.g., for a perturbation of states (such as needed for the formulation of [[:Category:Simulated moving bed \| Simulated moving bed]] ~~control tasks)~~ or for offsets of angles by a multiple of <math>2 \pi</math> such as in [[Car testdrive (elliptic track) \| periodic car driving]].		has to hold. <math>P(\cdot)</math> is an operation that allows, e.g., for a perturbation of states, such as needed for the formulation of [[:Category:Simulated moving bed \| Simulated moving bed]] processes, or for offsets of angles by a multiple of <math>2 \pi</math> such as in [[Car testdrive (elliptic track) \| periodic car driving]].

	[[Category:Objective characterization]]		[[Category:Objective characterization]]

SebastianSager at 17:21, 29 November 2008

2008-11-29T17:21:09Z

← Older revision		Revision as of 17:21, 29 November 2008
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	has to hold. <math>P(\cdot)</math> is an operation that allows, e.g., for a perturbation of states (such as needed for the formulation of [[:Category:Simulated moving bed \| Simulated moving bed]] control tasks) or for offsets of angles by a multiple of <math>2 \pi</math> such as in [[Car testdrive (elliptic track) \| periodic car driving]].		has to hold. <math>P(\cdot)</math> is an operation that allows, e.g., for a perturbation of states (such as needed for the formulation of [[:Category:Simulated moving bed \| Simulated moving bed]] control tasks) or for offsets of angles by a multiple of <math>2 \pi</math> such as in [[Car testdrive (elliptic track) \| periodic car driving]].

	[[Category:~~Model~~ characterization]]		[[Category:Objective characterization]]

SebastianSager at 05:18, 29 November 2008

2008-11-29T05:18:13Z

← Older revision		Revision as of 05:18, 29 November 2008
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	</math>		</math>

	has to hold. <math>P(\cdot)</math> is an operation that allows, e.g., for a perturbation of states (such as needed for the formulation of [[Simulated ~~Moving Bed~~]] control tasks) or for offsets of angles by a multiple of <math>2 \pi</math> such as in [[Car testdrive (elliptic track) \| periodic car driving]].		has to hold. <math>P(\cdot)</math> is an operation that allows, e.g., for a perturbation of states (such as needed for the formulation of [[:Category:Simulated moving bed \| Simulated moving bed]] control tasks) or for offsets of angles by a multiple of <math>2 \pi</math> such as in [[Car testdrive (elliptic track) \| periodic car driving]].

	[[Category:Model characterization]]		[[Category:Model characterization]]

SebastianSager: Periodicity constraint is a characteristic of the optimization task, not of the optimal solution. Added operation P().

2008-11-25T19:17:36Z

Periodicity constraint is a characteristic of the optimization task, not of the optimal solution. Added operation P().

← Older revision		Revision as of 19:17, 25 November 2008
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	This is a category with all control problems that seek for periodic solutions, i.e., ~~the some or all boundary values~~ of the ~~optimal solution shall be equal.~~		This is a category with all control problems that seek for periodic solutions, i.e., a condition of the kind

	[[Category:~~Solution~~ characterization]]		<math>
			x(0) = P(x(t_f))
			</math>

			has to hold. <math>P(\cdot)</math> is an operation that allows, e.g., for a perturbation of states (such as needed for the formulation of [[Simulated Moving Bed]] control tasks) or for offsets of angles by a multiple of <math>2 \pi</math> such as in [[Car testdrive (elliptic track) \| periodic car driving]].

			[[Category:Model characterization]]

Ckirches: New page: This is a category with all control problems that seek for periodic solutions, i.e., the some or all boundary values of the optimal solution shall be equal. [[Category:Solution characteri...

2008-11-25T12:54:15Z

New page: This is a category with all control problems that seek for periodic solutions, i.e., the some or all boundary values of the optimal solution shall be equal. [[Category:Solution characteri...

New page

This is a category with all control problems that seek for periodic solutions, i.e., the some or all boundary values of the optimal solution shall be equal.

[[Category:Solution characterization]]