Locally positive stabilization of infinite-dimensional linear systems by state feedback

B. Abouzaïd, M. E. Achhab, J. N. Dehaye, A. Hastir, J. J. Winkin

    Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs

    Résumé

    An overview is given of the locally positive stabilization problem for positive infinite-dimensional linear systems with a bounded control operator. The impossibility of solving this problem by using a nonnegative input is established. Two methods for solving the problem by means of state feedback, namely spectral decomposition and control invariance, are described. The results are illustrated by means of a perturbed diffusion equation with Dirichlet boundary conditions and a diffusion equation with Neumann boundary conditions and pointwise control.

    langue originaleAnglais
    journalEuropean Journal of Control
    Date de mise en ligne précoce31 juil. 2021
    Les DOIs
    Etat de la publicationE-pub ahead of print - 31 juil. 2021

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