Publication

Semi-global controllability of a geometric wave equation

Joachim Krieger, Shengquan Xiang
2022
Journal Articles

Abstract

We prove the semi-global controllability and stabilization of the $(1+1)-$ dimensional wave maps equation with spatial domain 𝕊1 and target $𝕊k$ . First we show that damping stabilizes the system when the energy is strictly below the threshold $2π$ , where harmonic maps appear as obstruction for global stabilization. Then, we adapt an iterative control procedure to get low-energy exact controllability of the wave maps equation. This result is optimal in the case $k=1$ .

Official source

https://infoscience.epfl.ch/entities/publication/625b5e80-fc29-45a9-bf14-1f4559789394

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Joachim Krieger, Shengquan Xiang
2022
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/625b5e80-fc29-45a9-bf14-1f4559789394

About this result

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Semi-global controllability of a geometric wave equation

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