Optimal Control via Initial State of an Infinite Order Time Delay Hyperbolic System
A. Kowalewski
AGH University of Science and Technology
Abstract
In this paper, we consider an optimal control problem for a linear infinite order hyperbolic system.
One from the initial conditions is given by control function. Sufficient conditions for the existence of a unique solution of such hyperbolic equations with the Dirichlet boundary conditions are presented. The performance functional has the quadratic form. 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 Dirichlet problem with the quadratic performance functional and constrained control are derived.
Full paper
Session
Process Optimisation (Lecture)
Reference
Kowalewski, A.: Optimal Control via Initial State of an Infinite Order Time Delay Hyperbolic System. Editors: Fikar, M. and Kvasnica, M., In Proceedings of the 18th International Conference on Process Control, Tatranská Lomnica, Slovakia, June 14 – 17, 552–556, 2011.
BibTeX
| @inProceedings{pc2011-018, | ||
| author | = { | Kowalewski, A.}, |
| title | = { | Optimal Control via Initial State of an Infinite Order Time Delay Hyperbolic System}, |
| booktitle | = { | Proceedings of the 18th International Conference on Process Control}, |
| year | = { | 2011}, |
| pages | = { | 552-556}, |
| editor | = { | Fikar, M. and Kvasnica, M.}, |
| address | = { | Tatransk\'a Lomnica, Slovakia}, |
| publisher | = { | Slovak University of Technology in Bratislava}, |
| url | = { | http://www.kirp.chtf.stuba.sk/pc11/data/papers/018.pdf}} |