The University of Southampton
University of Southampton Institutional Repository

On positive-realness and Lyapunov functions for switched linear differential systems

On positive-realness and Lyapunov functions for switched linear differential systems
On positive-realness and Lyapunov functions for switched linear differential systems
We show new results about Lyapunov stability of switched linear differential systems (SLDS) using the concept of
positive realness. The main results include stability conditions for a class of SLDS with augmented banks and the parametrization of families of asymptotically stable SLDS with three modes. Such conditions can be verified using LMIs that can be directly set up from the higher-order differential equations describing the modes
0018-9286
1-6
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Mayo Maldonado, Jonathan
cd0eae1f-0547-4ded-b72a-299660ea1a03
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Mayo Maldonado, Jonathan
cd0eae1f-0547-4ded-b72a-299660ea1a03

Rapisarda, Paolo and Mayo Maldonado, Jonathan (2016) On positive-realness and Lyapunov functions for switched linear differential systems. IEEE Transactions on Automatic Control, 61 (8), 1-6. (doi:10.1109/TAC.2015.2484329).

Record type: Article

Abstract

We show new results about Lyapunov stability of switched linear differential systems (SLDS) using the concept of
positive realness. The main results include stability conditions for a class of SLDS with augmented banks and the parametrization of families of asymptotically stable SLDS with three modes. Such conditions can be verified using LMIs that can be directly set up from the higher-order differential equations describing the modes

Text
OnPositiveRealness.pdf - Accepted Manuscript
Download (208kB)

More information

Accepted/In Press date: 21 September 2015
Published date: August 2016
Organisations: Vision, Learning and Control

Identifiers

Local EPrints ID: 405533
URI: http://eprints.soton.ac.uk/id/eprint/405533
ISSN: 0018-9286
PURE UUID: 6e001b5f-cb1c-4c66-b107-d0cce958f67a

Catalogue record

Date deposited: 06 Feb 2017 14:33
Last modified: 15 Mar 2024 04:31

Export record

Altmetrics

Contributors

Author: Paolo Rapisarda
Author: Jonathan Mayo Maldonado

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.

×