The University of Southampton
University of Southampton Institutional Repository

System transformation induced by generalized orthonormal basis functions preserves dissipativity

System transformation induced by generalized orthonormal basis functions preserves dissipativity
System transformation induced by generalized orthonormal basis functions preserves dissipativity
This paper discusses the dissipativity of transformed systems induced by generalized orthonormal basis functions. The dissipativity includes both passivity and the finite system gain property. We prove that the transformed system preserves the dissipativity and shares a common storage function when the original continuous-time system is dissipative. The results further illuminates the properties of this class of system transformation.
shift-invariant subspace, system transformation, dissipativity
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Ohta, Yoshito
aa21505a-73bf-4e10-a0fb-a84006c69daf
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Ohta, Yoshito
aa21505a-73bf-4e10-a0fb-a84006c69daf

Rapisarda, Paolo and Ohta, Yoshito (2018) System transformation induced by generalized orthonormal basis functions preserves dissipativity. In Proceedings of 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS2018). 7 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

This paper discusses the dissipativity of transformed systems induced by generalized orthonormal basis functions. The dissipativity includes both passivity and the finite system gain property. We prove that the transformed system preserves the dissipativity and shares a common storage function when the original continuous-time system is dissipative. The results further illuminates the properties of this class of system transformation.

Text
mtns2018ms - Accepted Manuscript
Download (100kB)

More information

Published date: 2018
Venue - Dates: MTNS 2018: 23rd International Symposium on Mathematical Theory of Networks and Systems, , Hong Kong, China, 2018-07-16 - 2018-07-20
Keywords: shift-invariant subspace, system transformation, dissipativity

Identifiers

Local EPrints ID: 420089
URI: http://eprints.soton.ac.uk/id/eprint/420089
PURE UUID: 7c6f9bae-d393-48cf-abe9-c29ddd6c99ee

Catalogue record

Date deposited: 26 Apr 2018 16:30
Last modified: 15 Mar 2024 19:33

Export record

Contributors

Author: Paolo Rapisarda
Author: Yoshito Ohta

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.

×