Optimal time for the controllability of linear hyperbolic systems in one-dimensional space. (English) Zbl 1418.35259
The paper is concerned with the optimal time for the null-controllability and exact controllability of linear hyperbolic systems in one-dimensional space with boundary controls on one side. The case of special boundary conditions and boundary controls is considered. The aim of the work is to obtain the optimal time for the null-controllability and exact controllability. An explicit form of the optimal time under corresponding conditions is given. The proofs of all theorems are based on the approach that relies on backstepping due to Miroslav Krstić and his co-authors.
Reviewer: Vyacheslav I. Maksimov (Ekaterinburg)
MSC:
| 35L50 | Initial-boundary value problems for first-order hyperbolic systems |
| 93C20 | Control/observation systems governed by partial differential equations |
| 93B05 | Controllability |
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