Exact boundary synchronization for a coupled system of 1-D wave equations

Tatsien Li; Bopeng Rao; Long Hu

ESAIM: Control, Optimisation and Calculus of Variations (2014)

  • Volume: 20, Issue: 2, page 339-361
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Li, Tatsien, Rao, Bopeng, and Hu, Long. "Exact boundary synchronization for a coupled system of 1-D wave equations." ESAIM: Control, Optimisation and Calculus of Variations 20.2 (2014): 339-361. <http://eudml.org/doc/272818>.

@article{Li2014,
abstract = {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.},
author = {Li, Tatsien, Rao, Bopeng, Hu, Long},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {exact null controllability; exact synchronization; exact synchronization by groups; exact null controllability and synchronization by groups; generalized exact synchronization; null controllability by groups},
language = {eng},
number = {2},
pages = {339-361},
publisher = {EDP-Sciences},
title = {Exact boundary synchronization for a coupled system of 1-D wave equations},
url = {http://eudml.org/doc/272818},
volume = {20},
year = {2014},
}

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
PB - EDP-Sciences
VL - 20
IS - 2
SP - 339
EP - 361
AB - 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.
LA - eng
KW - exact null controllability; exact synchronization; exact synchronization by groups; exact null controllability and synchronization by groups; generalized exact synchronization; null controllability by groups
UR - http://eudml.org/doc/272818
ER -

References

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