Difference between revisions of "Category:Periodic"

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This is a category with all control problems that seek for periodic solutions, i.e., a condition of the kind
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This is a category with all control problems that seek periodic solutions, i.e., a condition of the kind
  
<math>
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<center><math>
x(0) = P(x(t_f))
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  \Gamma[x] = P(x(t_f)) - x(t_0) = 0,
</math>
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</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]].
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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]] 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]]

Latest revision as of 12:52, 20 November 2010

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


  \Gamma[x] = P(x(t_f)) - x(t_0) = 0,

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 processes, 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.