Ruling out positive Lyapunov exponents by using the Jacobian's second additive compound matrix
File(s)
Accepted version
Author(s)
Martini, Davide
Angeli, David
Innocenti, Giacomo
Tesi, Alberto
Type
Journal Article
Abstract
Second additive compound matrices of the system’s Jacobian are used to formulate sufficient conditions to rule out existence of attractors with positive Lyapunov exponents. The criteria are expressed in terms of Lyapunov dissipation inequalities or Linear Matrix Inequalities amenable to analytic verification. The results extend applicability of previous existing conditions formulated to discard periodic and almost periodic oscillations. An example of the technique to rule out chaos in certain parameters region of the Lorenz system is discussed.
Date Issued
2022-06-02
Date Acceptance
2022-05-31
Citation
IEEE Control Systems Letters, 2022, 6, pp.2924-2928
ISSN
2475-1456
Publisher
Institute of Electrical and Electronics Engineers
Start Page
2924
End Page
2928
Journal / Book Title
IEEE Control Systems Letters
Volume
6
Copyright Statement
Copyright © 2022 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.
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000811571700001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
Science & Technology
Technology
Automation & Control Systems
Compounds
Jacobian matrices
Additives
Linear matrix inequalities
Eigenvalues and eigenfunctions
Differential equations
Symmetric matrices
Chaotic attractors
compound matrices
lorenz system
Lyapunov exponents
Publication Status
Published
Date Publish Online
2022-06-02