A generalized result of output stabilizability

TL;DR

This paper investigates conditions under which infinite-dimensional linear systems can be stabilized through output feedback, providing a criterion for output stabilizability using bounded linear feedback.

Contribution

It introduces a new criterion for output stabilizability of infinite-dimensional systems via bounded linear feedback, extending existing theoretical frameworks.

Findings

A criterion for output stabilizability is established.

The feedback law u=Fx ensures stabilization under certain conditions.

The results apply to a class of infinite-dimensional linear systems.

Abstract

Output stabilizability of a class of infinite dimensional linear systems is studied in this paper. A criterion for the system to be output stabilizable by a linear bounded feedback $u=Fx$, $F\in L(Z,\mathbb{R}^{^{p}})$ will be given.