Title :
A collocation scheme for the identification of coefficients in nonlinear parabolic equations
Author :
Pilant, Michael ; Rundell, William
Author_Institution :
Dept. of Math., Texas A&M Univ., College Station, TX, USA
Abstract :
The identifiability of functions describing nonlinear radiation and source terms in the one-dimensional heat equation is considered. It is shown that a monotone sequence of temperature measurements on one boundary is sufficient to determine a unique piecewise linear function which yields the desired temperature response. As a consequence, it is shown that the temperature can be controlled by this piecewise linear function. Numerical results are presented
Keywords :
distributed parameter systems; heat radiation; identification; temperature control; temperature measurement; collocation scheme; distributed parameter systems; heat radiation; identification; nonlinear parabolic equations; nonlinear radiation; one-dimensional heat equation; source terms; temperature control; temperature measurement; temperature response; unique piecewise linear function; Boundary conditions; Control theory; Cooling; Mathematics; Nonlinear equations; Piecewise linear approximation; Piecewise linear techniques; Temperature control; Temperature dependence; Temperature measurement;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70388
