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

There exist many ways to stabilize an infinite-dimensional linear autonomouscontrol systems when it is possible. Anyway, finding an exponentiallystabilizing feedback control that is as simple as possible may be a challenge.The Riccati theory provides a nice feedback control but may be computationallydemanding when considering a discretization scheme. Proper OrthogonalDecomposition (POD) offers a popular way to reduce large-dimensional systems.In the present paper, we establish that, under appropriate spectralassumptions, an exponentially stabilizing feedback Riccati control designedfrom a POD finite-dimensional approximation of the system stabilizes as wellthe infinite-dimensional control system.

Stabilization of infinite-dimensional linear control systems by POD reduced-order Riccati feedback