The University of Southampton
University of Southampton Institutional Repository

An intrinsic behavioural approach to the gap metric

Bian, Wenming, French, Mark and Pillai, Harish (2008) An intrinsic behavioural approach to the gap metric SIAM Journal on Control and Optimization, 47, (4), pp. 1939-1960. (doi:10.1137/060656681).

Record type: Article

Abstract

An intrinsic trajectory level approach without any recourse to an algebraic structure of a representation is utilized to develop a behavioural approach to robust stability. In particular it is shown how the controllable behaviour can be constructed at the trajectory level via Zorn's Lemma, and this is utilized to study the controllable-autonomous decomposition. Stability concepts are defined and the relation between this framework and the well known difficulties of classical input-output approaches to systems over the doubly infinite time-axis are discussed. The gap distance is generalised to the behavioural setting via a trajectory level definition; and a basic robust stability theorem is established for linear shift invariant behaviours. The robust stability theorem is shown to provide an explicit robustness interpretation to the behavioural $H^\infty$ synthesis of Willems and Trentelmann

PDF SIAM240507.pdf - Version of Record
Download (267kB)

More information

Published date: 2008
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 266895
URI: http://eprints.soton.ac.uk/id/eprint/266895
PURE UUID: e608ac70-626a-44bd-b55d-911928bf568b

Catalogue record

Date deposited: 10 Nov 2008 12:07
Last modified: 18 Jul 2017 07:10

Export record

Altmetrics

Contributors

Author: Wenming Bian
Author: Mark French
Author: Harish Pillai

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×