A geometric characterisation of persistently exciting signals generated by
autonomous systems
autonomous systems
File(s)NOLCOS16-AP-GS-AA.pdf (351.12 KB)
Submitted version
Author(s)
Padoan, A
Scarciotti, G
Astolfi, A
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.
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.
Date Issued
2016-12-22
Date Acceptance
2016-04-18
Citation
IFAC papers online, 2016, 49 (18), pp.826-831
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
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/G066477/1
Source
10th IFAC Symposium on Nonlinear Control Systems
Subjects
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
Coverage Spatial
Monterey, California, USA