Sensitivity Analysis of Parabolic Systems with Boundary Conditions Involving Time Delays
A. Kowalewski1, J. Sokolowski2
1 AGH University of Science and Technology
2 Polish Academy of Sciences
Abstract
In the paper the first order sensitivity analysis is performed for a class of optimal control problems for parabolic equations with the Neumann boundary conditions involving time delays. A singular perturbation of geometrical domain of integration is introduced in the form of a circular hole. The Steklov-Poincare operator on a circle is defined in order to reduce the problem to regular perturbations in the truncated domain. The optimality system is differentiated with respect to the small parameter and the directional derivative of the optimal control is obtained as a solution to an auxiliary optimal control problem.
Full paper
Session
Process Optimisation (Lecture)
Reference
Kowalewski, A., Sokolowski, J.: Sensitivity Analysis of Parabolic Systems with Boundary Conditions Involving Time Delays. Editors: Fikar, M., Kvasnica, M., In Proceedings of the 17th International Conference on Process Control ’09, Štrbské Pleso, Slovakia, 101–106, 2009
BibTeX
| @inProceedings{pc09-025, | ||
| author | = { | Kowalewski, A. and Sokolowski, J.}, |
| title | = { | Sensitivity Analysis of Parabolic Systems with Boundary Conditions Involving Time Delays}, |
| booktitle | = { | Proceedings of the 17th International Conference on Process Control '09}, |
| year | = { | 2009}, |
| pages | = { | 101-106}, |
| editor | = { | Fikar, M. and Kvasnica, M.}, |
| address | = { | Štrbské Pleso, Slovakia}, |
| publisher | = { | Slovak University of Technology in Bratislava}, |
| url | = { | http://www.kirp.chtf.stuba.sk/pc09/data/papers/025.pdf}} |