English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider a one-dimensional controlled reaction-diffusion equation, wherethe control acts on the boundary and is subject to a constant delay. Such amodel is a paradigm for more general parabolic systems coupled with a transportequation. We prove that this is possible to stabilize (in H 1 norm) thisprocess by means of an explicit predictor-based feedback control that isdesigned from a finite-dimensional subsystem. The implementation is very simpleand efficient and is based on standard tools of pole-shifting. Our feedbackacts on the system as a finite-dimensional predictor. We compare our approachwith the backstepping method.

Finite-dimensional predictor-based feedback stabilization of a 1D linear reaction-diffusion equation with boundary input delay