Balancing for nonlinear systems
Systems & Control Letters
Automated nonlinear Macromodelling of output buffers for high-speed digital applications
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Scalable trajectory methods for on-demand analog macromodel extraction
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Parameterized model order reduction of nonlinear dynamical systems
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Faster, parametric trajectory-based macromodels via localized linear reductions
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Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
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Interpolatory Projection Methods for Parameterized Model Reduction
SIAM Journal on Scientific Computing
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Mathematics and Computers in Simulation
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In this paper we propose a method for generating reduced models for a class of nonlinear dynamical systems, based on truncated balanced realization (TBR) algorithm and a recently developed trajectory piecewise-linear (TPWL) model order reduction approach. We also present a scheme which uses both Krylov-based and TBR-based projections. Computational results, obtained for examples of nonlinear circuits and a micro-electro-mechanical system (MEMS), indicate that the proposed reduction scheme generates nonlinear macromodels with superior accuracy as compared to reduction algorithms based solely on Krylov subspace projections, while maintaining a relatively low model extraction cost.