A geometric characterisation of the persistence of excitation condition for sequences generated by discrete-time autonomous systems
File(s)
Accepted version
Author(s)
Padoan, A
Scarciotti, G
Astolfi, A
Type
Conference Paper
Abstract
The persistence of excitation condition for sequences
generated by time-invariant, discrete-time, autonomous
linear and nonlinear systems is studied. A rank condition
is shown to be equivalent to the persistence of excitation
of sequences generated by the class of systems considered,
consistently with the results established by the authors for the
continuous-time case. The condition is geometric in nature and
can be checked a priori for a Poisson stable system, that is,
without knowing explicitly the state trajectories of the system.
The significance of the ideas and tools presented is illustrated
by means of simple examples.
generated by time-invariant, discrete-time, autonomous
linear and nonlinear systems is studied. A rank condition
is shown to be equivalent to the persistence of excitation
of sequences generated by the class of systems considered,
consistently with the results established by the authors for the
continuous-time case. The condition is geometric in nature and
can be checked a priori for a Poisson stable system, that is,
without knowing explicitly the state trajectories of the system.
The significance of the ideas and tools presented is illustrated
by means of simple examples.
Date Issued
2016-12-29
Date Acceptance
2016-07-24
Citation
2016 IEEE 55th Conference on Decision and Control (CDC), 2016
Publisher
IEEE
Journal / Book Title
2016 IEEE 55th Conference on Decision and Control (CDC)
Copyright Statement
© 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor
Engineering & Physical Science Research Council (E
Grant Number
EEZ1419554
Source
IEEE 55th Annual Conference on Decision and Control (CDC)
Subjects
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Operations Research & Management Science
Engineering
CONVERGENCE
STABILITY
Publication Status
Published
Start Date
2016-12-12
Finish Date
2016-12-14
Coverage Spatial
Las Vegas, NV, USA