DocumentCode
2257354
Title
Identifiability of piecewise constant conductivity and its stability
Author
Gutman, Semion ; Ha, Junhong
Author_Institution
Dept. of Math., Univ. of Oklahoma, Norman, OK, USA
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
2728
Lastpage
2733
Abstract
We study the identifiability (i.e. the unique identification) problems for 1-D heat conduction in a nonhomogeneous rod. The piecewise constant conductivity of the rod can be uniquely identified from finitely many observations of the process at equidistant points. Such an identification is accomplished by the novel marching algorithm. In addition, the continuity of the solution and identification maps is established. An algorithm for the conductivity recovery from noisy data is proposed.
Keywords
heat conduction; rods (structures); heat conduction; marching algorithm; nonhomogeneous rod; piecewise constant conductivity; Boundary conditions; Conductivity measurement; Eigenvalues and eigenfunctions; Equations; Insulation; Stability; Temperature control; Temperature sensors; Thermal conductivity; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4739498
Filename
4739498
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