In this paper, we first give an algebraic characterization of uniqueness of continuation for a coupled system of wave equations with coupled Robin boundary conditions. Then, the approximate boundary controllability and the approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary controls are developed around this fundamental characterization.
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Keywords: Kalman’s criterion, uniqueness of continuation, Robin boundary controls, approximate boundary synchronization by groups
@article{COCV_2021__27_1_A12_0,
author = {Li, Tatsien and Rao, Bopeng},
title = {Approximate boundary synchronization by groups for a coupled system of wave equations with coupled {Robin} boundary conditions},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
year = {2021},
publisher = {EDP-Sciences},
volume = {27},
doi = {10.1051/cocv/2021006},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2021006/}
}
TY - JOUR AU - Li, Tatsien AU - Rao, Bopeng TI - Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2021 VL - 27 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2021006/ DO - 10.1051/cocv/2021006 LA - en ID - COCV_2021__27_1_A12_0 ER -
%0 Journal Article %A Li, Tatsien %A Rao, Bopeng %T Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions %J ESAIM: Control, Optimisation and Calculus of Variations %D 2021 %V 27 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/cocv/2021006/ %R 10.1051/cocv/2021006 %G en %F COCV_2021__27_1_A12_0
Li, Tatsien; Rao, Bopeng. Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 27 (2021), article no. 10. doi: 10.1051/cocv/2021006
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