Stable Reduced Models for Nonlinear Descriptor Systems Through Piecewise-Linear Approximation and Projection
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Bond_Stable-Reduced-Models.pdf
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1.05 MB
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Author(s)
Bond, Bradley N.
Daniel, Luca
Date Issued
September 2009
Journal
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Publisher
Institute of Electrical and Electronics Engineers
Citation
Bond, B.N., and L. Daniel. “Stable Reduced Models for Nonlinear Descriptor Systems Through Piecewise-Linear Approximation and Projection.” Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on 28.10 (2009): 1467-1480. © 2009 IEEE
Version
Final published version
Abstract
This paper presents theoretical and practical results concerning the stability of piecewise-linear (PWL) reduced models for the purposes of analog macromodeling. Results include proofs of input-output (I/O) stability for PWL approximations to certain classes of nonlinear descriptor systems, along with projection techniques that are guaranteed to preserve I/O stability in reduced-order PWL models. We also derive a new PWL formulation and introduce a new nonlinear projection, allowing us to extend our stability results to a broader class of nonlinear systems described by models containing nonlinear descriptor functions. Lastly, we present algorithms to compute efficiently the required stabilizing nonlinear left-projection matrix operators.
Subjects
stability
nonlinear systems
model order reduction (MOR)
Analog macromodeling
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Research Laboratory of Electronics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
http://dx.doi.org/10.1109/tcad.2009.2030596
