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arXiv · 1705.04623

Finite-parameter feedback control for stabilizing the complex Ginzburg-Landau equation

Jamila Kalantarova·Türker Özsarı
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Abstract

In this paper, we prove the exponential stabilization of solutions for complex Ginzburg-Landau equations using finite-parameter feedback control algorithms, which employ finitely many volume elements, Fourier modes or nodal observables (controllers). We also propose a feedback control for steering solutions of the Ginzburg-Landau equation to a desired solution of the non-controlled system. In this latter problem, the feedback controller also involves the measurement of the solution to the non-controlled system.

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Jamila Kalantarova, Türker Özsarı. 2017-05-12. Finite-parameter feedback control for stabilizing the complex Ginzburg-Landau equation. https://arxiv.org/abs/1705.04623

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