Difference between revisions of "Category:Periodic"

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(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...)
 
m (Periodicity constraint is a characteristic of the optimization task, not of the optimal solution. Added operation P().)
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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.
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This is a category with all control problems that seek for periodic solutions, i.e., a condition of the kind
  
[[Category:Solution characterization]]
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<math>
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x(0) = P(x(t_f))
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</math>
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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 [[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]].
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[[Category:Model characterization]]

Revision as of 21:17, 25 November 2008

This is a category with all control problems that seek for periodic solutions, i.e., a condition of the kind


x(0) = P(x(t_f))

has to hold. P(\cdot) 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 2 \pi such as in periodic car driving.

Subcategories

This category has only the following subcategory.

Pages in category "Periodic"

The following 2 pages are in this category, out of 2 total.