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March  2020, 9(1): 181-191. doi: 10.3934/eect.2020002

## Global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation

 1 State Key Laboratory of Automotive Simulaion and Control, Jilin University, Changchun 130012, China 2 School of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, China

* Corresponding author: Peng Gao

Received  October 2018 Revised  March 2019 Published  August 2019

Fund Project: This work is supported by Foundation of State Key Laboratory of Automotive Simulation and Control and NSFC Grant (11601073).

In this paper, we establish the global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation by five controls: one control is the right member of the equation and is constant with respect to the space variable, the four others are the boundary controls.

Citation: Peng Gao. Global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation. Evolution Equations & Control Theory, 2020, 9 (1) : 181-191. doi: 10.3934/eect.2020002
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