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 language | English |
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Article number | 11 |
Journal | Mathematics of Control, Signals, and Systems |
Volume | 30 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jun 2018 |
Publication type | A1 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