Stabilization to trajectories for parabolic equations
Research output: Contribution to journal › Article › Scientific › peer-review
|Journal||Mathematics of Control, Signals, and Systems|
|Publication status||Published - 1 Jun 2018|
|Publication type||A1 Journal article-refereed|
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.
ASJC Scopus subject areas
- Feedback stabilization to trajectories, Semilinear parabolic equations