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|a Bond, Bradley N.
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|a Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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|a Massachusetts Institute of Technology. Research Laboratory of Electronics
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|a Daniel, Luca
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|a Bond, Bradley N.
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|a Daniel, Luca
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|a Daniel, Luca
|e author
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|a Stable Reduced Models for Nonlinear Descriptor Systems Through Piecewise-Linear Approximation and Projection
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|b Institute of Electrical and Electronics Engineers,
|c 2010-03-05T20:48:15Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/52359
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|a 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.
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|a Interconnect Focus Center
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|a en_US
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|a stability
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|a nonlinear systems
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|a model order reduction (MOR)
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|a Analog macromodeling
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|a Article
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|t IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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