Stabilization to trajectories for parabolic equations

Duy Phan, Sérgio S. Rodrigues

    Research output: Contribution to journalArticleScientificpeer-review

    18 Citations (Scopus)
    5 Downloads (Pure)

    Abstract

    Both internal and boundary feedback exponential stabilization to trajectories for semilinear parabolic equations in a given bounded domain are addressed. The values of the controls are linear combinations of a finite number of actuators which are supported in a small region. A condition on the family of actuators is given which guarantees the local stabilizability of the control system. It is shown that a linearization-based Riccati feedback stabilizing controller can be constructed. The results of numerical simulations are presented and discussed.

    Original languageEnglish
    Article number11
    JournalMathematics of Control, Signals, and Systems
    Volume30
    Issue number2
    DOIs
    Publication statusPublished - 1 Jun 2018
    Publication typeA1 Journal article-refereed

    Keywords

    • Feedback stabilization to trajectories
    • Semilinear parabolic equations

    Publication forum classification

    • Publication forum level 1

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Signal Processing
    • Control and Optimization
    • Applied Mathematics

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