Category:Periodic: Difference between revisions

Latest revision as of 11:52, 20 November 2010

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

Γ [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 $2 π$ such as in periodic car driving.

Subcategories

This category has only the following subcategory.

S

Simulated moving bed

Pages in category "Periodic"

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

C

Car testdrive (elliptic track)

S

Supermarket refrigeration system

@@ Line 1: / Line 1: @@
-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]]