Difference between revisions of "Category:Periodic"
From mintOC
(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., | + | This is a category with all control problems that seek for periodic solutions, i.e., a condition of the kind |
| − | [[Category: | + | <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]] | ||
Revision as of 20:17, 25 November 2008
This is a category with all control problems that seek for periodic solutions, i.e., a condition of the kind
has to hold. 
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 
such as in periodic car driving.
Pages in category "Periodic"
The following 2 pages are in this category, out of 2 total.
