arXiv:2205.13967 Abstract | arXiv Analytics

arXiv:2205.13967 [math.OC]Abstract References Reviews Resources

Feedback semiglobal stabilization to trajectories for the Kuramoto-Sivashinsky equation

Published 2022-05-27Version 1

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.

Comments: 18 subfigures

Categories: math.OC

Subjects: 93D15, 93B52, 93C20, 35K58, 35K41

Keywords: feedback semiglobal stabilization, kuramoto-sivashinsky equation, feedback control, small subdomains, time-dependent trajectory

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