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
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;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4739498
