Several kinds of exact synchronizations and the generalized exact synchronization are introduced for a coupled system of 1-D wave equations with various boundary conditions and we show that these synchronizations can be realized by means of some boundary controls.

Keywords: exact null controllability, exact synchronization, exact synchronization by groups, exact null controllability and synchronization by groups, generalized exact synchronization

@article{COCV_2014__20_2_339_0, author = {Li, Tatsien and Rao, Bopeng and Hu, Long}, title = {Exact boundary synchronization for a coupled system of {1-D} wave equations}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {339--361}, publisher = {EDP-Sciences}, volume = {20}, number = {2}, year = {2014}, doi = {10.1051/cocv/2013066}, mrnumber = {3264207}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv/2013066/} }

TY - JOUR AU - Li, Tatsien AU - Rao, Bopeng AU - Hu, Long TI - Exact boundary synchronization for a coupled system of 1-D wave equations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2014 SP - 339 EP - 361 VL - 20 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2013066/ DO - 10.1051/cocv/2013066 LA - en ID - COCV_2014__20_2_339_0 ER -

%0 Journal Article %A Li, Tatsien %A Rao, Bopeng %A Hu, Long %T Exact boundary synchronization for a coupled system of 1-D wave equations %J ESAIM: Control, Optimisation and Calculus of Variations %D 2014 %P 339-361 %V 20 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2013066/ %R 10.1051/cocv/2013066 %G en %F COCV_2014__20_2_339_0

Li, Tatsien; Rao, Bopeng; Hu, Long. Exact boundary synchronization for a coupled system of 1-D wave equations. ESAIM: Control, Optimisation and Calculus of Variations, Volume 20 (2014) no. 2, pp. 339-361. doi : 10.1051/cocv/2013066. http://archive.numdam.org/articles/10.1051/cocv/2013066/

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