Volume 27, 2021
|Number of page(s)||29|
|Published online||10 May 2021|
School of Mathematics and Statistics, Computational Science Hubei Key Laboratory, Wuhan University,
430072, PR China.
2 School of Science, Hebei University of Technology, Tianjin 300400, PR China.
*** Corresponding author: firstname.lastname@example.org
Accepted: 13 April 2021
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.
Mathematics Subject Classification: 49K20 / 93B05 / 93B07 / 93C20
Key words: Minimal time control / exact synchronization / minimal norm control / parabolic system
© EDP Sciences, SMAI 2021
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.