Process Control

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

024.pdf

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}}
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