Reduced-order modeling of large linear subcircuits via a block Lanczos algorithm
DAC '95 Proceedings of the 32nd annual ACM/IEEE Design Automation Conference
An efficient Lyapunov equation-based approach for generating reduced-order models of interconnect
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Guaranteed passive balancing transformations for model order reduction
Proceedings of the 39th annual Design Automation Conference
Singular Control Systems
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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
A new approach to modeling multiport systems from fequency-domain data
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
MFTI: matrix-format tangential interpolation for modeling multi-port systems
Proceedings of the 47th Design Automation Conference
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
More realistic power grid verification based on hierarchical current and power constraints
Proceedings of the 2011 international symposium on Physical design
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Passivity is a crucial property of macromodels to guarantee stable global (interconnected) simulation. However, weakly nonpassive models may be generated for passive circuits and systems in various contexts, such as data fitting, model order reduction (MOR) and electromagnetic (EM) macromodeling. Therefore, a post-processing passivity enforcement algorithm is desired. Most existing algorithms are designed to handle pole-residue models. The few algorithms for state space models only handle regular systems (RSs) with a nonsingular D+DT term. To the authors' best knowledge, no algorithm has been proposed to enforce passivity for more general descriptor systems (DSs) and state space models with singular D+DT terms. In this paper, a new post-processing passivity enforcement algorithm based on perturbation of Hamiltonian-symplectic matrix pencil, PEDS, is proposed. PEDS, for the first time, can enforce passivity for DSs. It can also handle all kinds of state space models (both RSs and DSs) with singular D+DT terms. Moreover, a criterion to control the error of perturbation is devised, with which the optimal passive models with the best accuracy can be obtained. Numerical examples then verify that PEDS is efficient, robust and relatively cheap for passivity enforcement of DSs with mild passivity violations.