This article is available for purchase or by subscription. See below.
Abstract
|
Given a linear control system in a Hilbert space with a bounded control
operator, we establish a characterization of exponential stabilizability in
terms of an observability inequality. Such dual characterizations are well
known for exact (null) controllability. Our approach exploits classical
Fenchel duality arguments and, in turn, leads to characterizations in terms
of observability inequalities of approximate null controllability and of
-null
controllability. We comment on the relationships among those various concepts, at
the light of the observability inequalities that characterize them.
|
PDF Access Denied
We have not been able to recognize your IP address
44.220.251.57
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
observability inequality, stabilizability, controllability
|
Mathematical Subject Classification 2010
Primary: 93B05, 93B07, 93C20
|
Milestones
Received: 30 April 2019
Revised: 19 June 2019
Accepted: 22 July 2019
Published: 9 November 2019
|
|