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arXiv · 2205.13967

Feedback semiglobal stabilization to trajectories for the Kuramoto-Sivashinsky equation

Sérgio S. Rodrigues·Dagmawi A. Seifu
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Abstract

It is shown that an oblique projection based feedback control is able to stabilize the state of the Kuramoto-Sivashinsky equation, evolving in rectangular domains, to a given time-dependent trajectory. The number of actuators is finite and consists of a finite number of indicator functions supported in small subdomains. Simulations are presented, in the one-dimensional case, showing the stabilizing performance of the feedback control.

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Sérgio S. Rodrigues, Dagmawi A. Seifu. 2022-05-27. Feedback semiglobal stabilization to trajectories for the Kuramoto-Sivashinsky equation. https://arxiv.org/abs/2205.13967

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