Balanced parametrization of classes of linear systems
SIAM Journal on Control and Optimization
Projection Based Fast Passive Compact Macromodeling of High-Speed VLSI Circuits and Interconnects
VLSID '05 Proceedings of the 18th International Conference on VLSI Design held jointly with 4th International Conference on Embedded Systems Design
SPRIM: structure-preserving reduced-order interconnect macromodeling
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
Time-domain properties of reactive dual circuits: Research Articles
International Journal of Circuit Theory and Applications
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Passive Interconnect Macromodeling Via Balanced Truncation of Linear Systems in Descriptor Form
ASP-DAC '07 Proceedings of the 2007 Asia and South Pacific Design Automation Conference
Graphs, Networks and Algorithms
Graphs, Networks and Algorithms
Circuit synthesis of passive descriptor systems—a modified nodal approach
International Journal of Circuit Theory and Applications
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Guaranteed passive balancing transformations for model order reduction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Two Algorithms for Fast and Accurate Passivity-Preserving Model Order Reduction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Fast Positive-Real Balanced Truncation Via Quadratic Alternating Direction Implicit Iteration
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Passivity-Preserving Model Reduction Using Dominant Spectral-Zero Interpolation
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient linear circuit analysis by Pade approximation via the Lanczos process
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Krylov subspace methods for projected Lyapunov equations
Applied Numerical Mathematics
Model order reduction of coupled circuit-device systems
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
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We present a passivity-preserving balanced truncation model reduction method for differential-algebraic equations arising in circuit simulation. This method is based on balancing the solutions of projected Lur'e equations. By making use of the special structure of circuit equations, we can reduce the numerical effort for balanced truncation significantly. It is shown that the property of reciprocity is also preserved in the reduced-order model. Network topological interpretations of certain circuit effects are given. The presented model reduction method is illustrated by numerical examples.