Reduced-order modeling of large linear subcircuits via a block Lanczos algorithm
DAC '95 Proceedings of the 32nd annual ACM/IEEE Design Automation Conference
Stable and efficient reduction of substrate model networks using congruence transforms
ICCAD '95 Proceedings of the 1995 IEEE/ACM international conference on Computer-aided design
Practical considerations in RLCK crosstalk analysis for digital integrated circuits
Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design
Guaranteed stable projection-based model reduction for indefinite and unstable linear systems
Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
An efficient passivity test for descriptor systems via canonical projector techniques
Proceedings of the 46th Annual Design Automation Conference
GHM: a generalized Hamiltonian method for passivity test of impedance/admittance descriptor systems
Proceedings of the 2009 International Conference on Computer-Aided Design
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Passivity test of immittance descriptor systems based on generalized Hamiltonian methods
IEEE Transactions on Circuits and Systems II: Express Briefs
An efficient projector-based passivity test for descriptor systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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
Fast Positive-Real Balanced Truncation Via Quadratic Alternating Direction Implicit Iteration
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
General-Purpose Nonlinear Model-Order Reduction Using Piecewise-Polynomial Representations
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient Positive-Real Balanced Truncation of Symmetric Systems Via Cross-Riccati Equations
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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Passivity-preserving model order reduction (MOR) of descriptor systems (DSs) is highly desired in the simulation of VLSI interconnects and on-chip passives. One popular method is PRIMA, a Krylov-subspace projection approach which preserves the passivity of positive semidefinite (PSD) structured DSs. However, system passivity is not guaranteed by PRIMA when the system is indefinite. Furthermore, the possible polynomial parts of singular systems are normally not captured. For indefinite DSs, positive-real balanced truncation (PRBT) can generate passive reduced-order models (ROMs), whose main bottleneck lies in solving the dual expensive generalized algebraic Riccati equations (GAREs). This paper presents a novel moment-matching MOR for indefinite DSs, which preserves both the system passivity and, if present, also the improper polynomial part. This method only requires solving one GARE, therefore it is cheaper than existing PRBT schemes. On the other hand, the proposed algorithm is capable of preserving the passivity of indefinite DSs, which is not guaranteed by traditional moment-matching MORs. Examples are finally presented showing that our method is superior to PRIMA in terms of accuracy.