Some low cost control problems (Q2708174)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some low cost control problems |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some low cost control problems |
scientific article |
Statements
19 February 2002
0 references
low cost control
0 references
asymptotic analysis
0 references
distributed control
0 references
boundary control
0 references
Some low cost control problems (English)
0 references
The authors consider several classes of optimal control problems which are governed by second order partial differential equations of elliptic type. These equations may contain rapidly oscillating coefficients and, in the expression of the cost functional, the coefficient \(\varepsilon\) of the norm of the control tends to 0. This is the motivation of the terminology ``low cost control''. The main purpose of the paper is to develop an asymptotic analysis as \(\varepsilon\rightarrow 0\) in several cases: for distributed control with state observed on the domain, for boundary control and state observed on the boundary, and for control and observation of the state on different sets.
0 references
