Identifiability of piecewise constant conductivity and its stability

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.

• Type: Conference
• Year: 2008
• Where: CDC
• Authors: Semion Gutman, Junhong Ha
• Keywords: 1-D Heat Conduction, CDC 2008, Control Systems, Piecewise Constant Conductivity, Unique Identification