Removing Chaos while preserving equilibria by means of 2-contraction
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Published version
Author(s)
Angeli, David
Martini, Davide
Innocenti, Giacomo
Tesi, Alberto
Type
Conference Paper
Abstract
Conditions for designing a feedback control law to remove the dense set of Unstable Periodic Orbits and chaotic attractors while preserving equilibria are formulated in terms of 2-contractivity of the closed loop system, by means of the second additive compound of the system's Jacobian. Matrix inequalities to allow computing the control gain matrix are discussed. An example of application of the method to the Thomas’ system is presented.
Date Issued
2024-08-16
Date Acceptance
2024-08-01
Citation
IFAC-PapersOnLine, 2024, 58 (5), pp.152-157
ISSN
2405-8963
Publisher
Elsevier BV
Start Page
152
End Page
157
Journal / Book Title
IFAC-PapersOnLine
Volume
58
Issue
5
Copyright Statement
Copyright © 2024. The Authors. Peer review under responsibility of International Federation of Automatic Control. This is an open access article under the CC BY-NC-ND license.
Source
7th IFAC Conference on Analysis and Control of Nonlinear Dynamics and Chaos ACNDC 2024
Publication Status
Published
Start Date
2024-06-05
Finish Date
2024-06-07
Coverage Spatial
London, UK
Date Publish Online
2024-08-16