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On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems

Kienitz, Karl Heinz (2005) On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems. Nonlinear Dynamics. Springer Science+Business Media B.V., Formerly Kluwer Academic Publishers B.V..

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Abstract

In many practical systems, limit cycles can be predicted with suitable precision by frequency domain methods using describing functions. Within such an approach, limit cycles can be predicted using the “eigenvalue method” [Somieski, G., Nonlinear Dynamics 26(1), 2001, 3–22]. This contribution presents a novel and advantageous implementation of this method, using singular value instead of eigenvalue calculations, and enhancing computational efficiency by avoiding a so called “frequency iteration”. Key words describing functions - eigenvalues

Item URL in elib:https://elib.dlr.de/21328/
Document Type:Article
Title:On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Kienitz, Karl HeinzUNSPECIFIEDUNSPECIFIED
Date:December 2005
Journal or Publication Title:Nonlinear Dynamics
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Publisher:Springer Science+Business Media B.V., Formerly Kluwer Academic Publishers B.V.
Status:Published
Keywords:describing functions - eigenvalues - limit cycles - Lyapunov equation - nonlinear systems - singular values - stability
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering)
Deposited By: Jaschinski, Astrid
Deposited On:20 Sep 2007
Last Modified:31 Jul 2019 19:16

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