Boundary Control of an Infinite Order Time Delay Parabolic System with Non-Differentiable Performance Functional
A. Kowalewski
AGH University of Science and Technology
Abstract
In this paper, we consider an optimal boundary control problem for an infinite order parabolic system with time delay given in the integral form. Sufficient conditions for the existence of a unique solution of the infinite order parabolic delay equation with the Neumann boundary condition
involving a time delay in the integral form are proved. The performance functional constitutes the sum of a differentiable and non-differentiable function. The time horizon T is fixed. Finally, we impose
some constraints on the control. Making use of the Lions scheme, necessary and sufficient conditions of optimality for the Neumann problem are derived.
Full paper
Session
Process Optimisation (Lecture)
Reference
Kowalewski, A.: Boundary Control of an Infinite Order Time Delay Parabolic System with Non-Differentiable Performance Functional. Editors: Fikar, M., Kvasnica, M., In Proceedings of the 17th International Conference on Process Control ’09, Štrbské Pleso, Slovakia, 73–79, 2009
BibTeX
| @inProceedings{pc09-024, | ||
| author | = { | Kowalewski, A.}, |
| title | = { | Boundary Control of an Infinite Order Time Delay Parabolic System with Non-Differentiable Performance Functional}, |
| booktitle | = { | Proceedings of the 17th International Conference on Process Control '09}, |
| year | = { | 2009}, |
| pages | = { | 73-79}, |
| 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/024.pdf}} |