Frequency domain truncation of Volterra series for weakly non-linear systems subject to harmonic excitation

DOI10.1080/00207170701760136zbMath1152.93430OpenAlexW2023124127MaRDI QIDQ3543058

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Publication date: 1 December 2008

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170701760136

zbMATH Keywords

frequency domaintruncationVolterra seriesweakly non-linear systems

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Realizations from input-output data (93B15)

Cites Work

• Unnamed Item
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• A Volterra series approximation to the coherence of the Duffing oscillator
• Continuous time non-linear system identification in the frequency domain
• A perspective on system theory
• Spectral analysis for non-linear systems, Part II: Interpretation of non-linear frequency response functions
• Recursive algorithm for computing the frequency response of a class of non-linear difference equation models
• Truncation of nonlinear system expansions in the frequency domain
• A digital method of modeling quadratically nonlinear systems with a general random input
• RANDOM VIBRATIONS OF A DUFFING OSCILLATOR USING THE VOLTERRA SERIES
• Mapping non-linear integro-differential equations into the frequency domain

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