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Stabilization to trajectories for parabolic equations

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Details

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

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.

Keywords

  • Feedback stabilization to trajectories, Semilinear parabolic equations

Publication forum classification

Field of science, Statistics Finland