Model Reduction of Weakly Nonlinear Systems
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In general, model reduction techniques fall into two categories — moment —matching and Krylov techniques and balancing techniques. The present contribution is concerned with the former. The present contribution proposes the use of a perturbative representation as an alternative to the bilinear representation . While for weakly nonlinear systems, either approximation is satisfactory, it will be seen that the perturbative method has several advantages over the bilinear representation. In this contribution, an improved reduction method is proposed. Illustrative examples are chosen, and the errors obtained from the different reduction strategies will be compared.
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- Model Reduction of Weakly Nonlinear Systems
- Book Title
- Advances in Electrical Engineering and Computational Science
- pp 13-22
- Print ISBN
- Online ISBN
- Series Title
- Lecture Notes in Electrical Engineering
- Series Volume
- Series ISSN
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media B.V.
- Additional Links
- Model Reduction
- Weakly Nonlinear Systems
- Perturbative Approximation
- Nonlinear Circuit
- Industry Sectors
- eBook Packages
- Editor Affiliations
- 1. Harvard School of Engineering and Applied Sciences, Harvard University
- 2. School of Engineering, Dept. of Process and Systems Engineering, Cranfield University
- Author Affiliations
- 3. School of Electronic Engineering, Dublin City University, Dublin 9, Glasnevin, Ireland
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