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A geometric characterisation of persistently exciting signals generated by autonomous systems

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Title: A geometric characterisation of persistently exciting signals generated by autonomous systems
Authors: Padoan, A
Scarciotti, G
Astolfi, A
Item Type: Conference Paper
Abstract: The persistence of excitation of signals generated by time-invariant, continuous-time, autonomous linear and nonlinear systems is studied. The notion of persistence of excitation is characterised as a rank condition which is reminiscent of a geometric condition used to study the controllability properties of a control system. The notions and tools introduced are illustrated by means of simple examples and of an application in system identification.
Issue Date: 22-Dec-2016
Date of Acceptance: 18-Apr-2016
URI: http://hdl.handle.net/10044/1/31666
DOI: https://dx.doi.org/10.1016/j.ifacol.2016.10.268
ISSN: 1474-6670
Publisher: Elsevier
Start Page: 826
End Page: 831
Journal / Book Title: IFAC papers online
Volume: 49
Issue: 18
Copyright Statement: © 2016, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/G066477/1
Conference Name: 10th IFAC Symposium on Nonlinear Control Systems
Keywords: Persistence of excitation
nonlinear system identification
structural properties
ASYMPTOTIC STABILITY
ADAPTIVE SYSTEMS
EXCITATION
CONVERGENCE
Publication Status: Published
Start Date: 2016-08-23
Finish Date: 2016-08-25
Conference Place: Monterey, California, USA
Appears in Collections:Electrical and Electronic Engineering
Faculty of Engineering