[LIBRO][B] Model order reduction for differential-algebraic equations: a survey

P Benner, T Stykel - 2017 - Springer
In this paper, we discuss the model order reduction problem for descriptor systems, that is,
systems with dynamics described by differential-algebraic equations. We focus on linear …

Structured model order reduction of system-level power delivery networks

A Carlucci, S Grivet-Talocia, S Kulasekaran… - IEEE …, 2024 - ieeexplore.ieee.org
This paper proposes a comprehensive model order reduction framework to enable fast
power integrity verification at the system level. This approach is developed to compress …

Enforcing passivity of parameterized LTI macromodels via Hamiltonian-driven multivariate adaptive sampling

A Zanco, S Grivet-Talocia, T Bradde… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
We present an algorithm for passivity verification and enforcement of multivariate
macromodels whose state-space matrices depend in closed form on a set of external or …

A practical regularization technique for modified nodal analysis in large-scale time-domain circuit simulation

Q Chen, SH Weng, CK Cheng - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
Fast full-chip time-domain simulation calls for advanced numerical integration techniques
with capability to handle the systems with (tens of) millions of variables resulting from the …

A perturbation scheme for passivity verification and enforcement of parameterized macromodels

S Grivet-Talocia - IEEE Transactions on Components …, 2017 - ieeexplore.ieee.org
This paper presents an algorithm for checking and enforcing passivity of behavioral reduced-
order macromodels of linear time-invariant systems, whose frequency-domain (scattering) …

Uniformly stable parameterized macromodeling through positive definite basis functions

A Zanco, S Grivet-Talocia, T Bradde… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Reduced-order models are widely used to reduce the computational cost required by the
numerical assessment of electrical performance during the design cycle of electronic circuits …

Passivity enforcement for descriptor systems via matrix pencil perturbation

Y Wang, Z Zhang, CK Koh, G Shi… - … on Computer-Aided …, 2012 - ieeexplore.ieee.org
Passivity is an important property of circuits and systems to guarantee stable global
simulation. Nonetheless, nonpassive models may result from passive underlying structures …

Index-aware model order reduction for differential-algebraic equations

G Ali, N Banagaaya, WHA Schilders… - … Computer Modelling of …, 2014 - Taylor & Francis
We introduce a model order reduction (MOR) procedure for differential-algebraic equations,
which is based on the intrinsic differential equation contained in the starting system and on …

Passivity Check of -Parameter Descriptor Systems via -Parameter Generalized Hamiltonian Methods

Z Zhang, N Wong - IEEE transactions on advanced packaging, 2010 - ieeexplore.ieee.org
This paper extends the generalized Hamiltonian method (GHM)(Zhang, 2009; Zhang and
Wong, 2010) and its half-size variant (HGHM)(Zhang and Wong, 2010) to their S-parameter …

PEDS: Passivity enforcement for descriptor systems via hamiltonian-symplectic matrix pencil perturbation

Y Wang, Z Zhang, CK Koh, GKH Pang… - 2010 IEEE/ACM …, 2010 - ieeexplore.ieee.org
Passivity is a crucial property of macromodels to guarantee stable global (interconnected)
simulation. However, weakly nonpassive models may be generated for passive circuits and …