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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.. ISSN 0924-090X.
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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
| Document Type: | Article | ||||
|---|---|---|---|---|---|
| Title: | On the Implementation of the Eigenvalue Method for Limit Cycle Determination in Nonlinear Systems | ||||
| Authors: |
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| Date: | December 2005 | ||||
| Journal or Publication Title: | Nonlinear Dynamics | ||||
| Refereed publication: | Yes | ||||
| In ISI Web of Science: | Yes | ||||
| Publisher: | Springer Science+Business Media B.V., Formerly Kluwer Academic Publishers B.V. | ||||
| ISSN: | 0924-090X | ||||
| 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: | L AR - Aircraft Research | ||||
| DLR - Research area: | Aeronautics | ||||
| DLR - Program: | L AR - Aircraft Research | ||||
| DLR - Research theme (Project): | L - Systems & Cabin | ||||
| Location: | Oberpfaffenhofen | ||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering) | ||||
| Deposited By: | Astrid Jaschinski | ||||
| Deposited On: | 20 Sep 2007 | ||||
| Last Modified: | 14 Jan 2010 20:42 |
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