Minimal time control of exact synchronization for parabolic systems
Optimization and Control
2018-03-02 v1
Abstract
This paper studies a kind of minimal time control problems related to the exact synchronization for a controlled linear system of parabolic equations. Each problem depends on two parameters: the bound of controls and the initial state. The purpose of such a problem is to find a control (from a constraint set) synchronizing components of the corresponding solution vector for the controlled system in the shortest time. In this paper, we build up a necessary and sufficient condition for the optimal time and the optimal control; we also obtain how the existence of optimal controls depends on the above mentioned two parameters.
Cite
@article{arxiv.1803.00244,
title = {Minimal time control of exact synchronization for parabolic systems},
author = {Lijuan Wang and Qishu Yan},
journal= {arXiv preprint arXiv:1803.00244},
year = {2018}
}