Feedback semiglobal stabilization to trajectories for the Kuramoto-Sivashinsky equation
Optimization and Control
2022-05-30 v1
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.
Keywords
Cite
@article{arxiv.2205.13967,
title = {Feedback semiglobal stabilization to trajectories for the Kuramoto-Sivashinsky equation},
author = {Sérgio S. Rodrigues and Dagmawi A. Seifu},
journal= {arXiv preprint arXiv:2205.13967},
year = {2022}
}
Comments
18 subfigures