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.

Classification: 35B37, 93B05, 93B07

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}, publisher = {EDP-Sciences}, volume = {20}, number = {2}, year = {2014}, pages = {339-361}, doi = {10.1051/cocv/2013066}, mrnumber = {3264207}, language = {en}, url = {http://www.numdam.org/item/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://www.numdam.org/item/COCV_2014__20_2_339_0/

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