Mathematics / Matematik

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Author: search.filters.author.Kalantarova, JamilaSubject: search.filters.subject.Feedback stabilization

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  • Article
    Citation - WoS: 7
    Citation - Scopus: 7
    Finite-Parameter Feedback Control for Stabilizing the Complex Ginzburg–landau Equation
    (Elsevier Ltd., 2017) Kalantarova, Jamila; Özsarı, Türker
    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.