Results 41 to 50 of about 52,744 (304)
An Ultraweak Variational Method for Parameterized Linear Differential-Algebraic Equations
Frontiers in Applied Mathematics and Statistics, 2022 We investigate an ultraweak variational formulation for (parameterized) linear differential-algebraic equations with respect to the time variable which yields an optimally stable system.
Emil Beurer +3 more
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Model Reduction for Linear Parameter-Dependent Systems [PDF]
, 2008 The paper considers the problem of model reduction for a class of linear parameter-dependent (LPD) systems. Three model reduction approaches: balanced truncation, balanced LQG truncation and gain-scheduled $mathcal{H}_infty$ model reduction, are ...
Li, L
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Frequency-Limited Balanced Truncation with Low-Rank Approximations [PDF]
SIAM Journal on Scientific Computing, 2016 Summary: We investigate model order reduction of large-scale systems using frequency-limited balanced truncation, which restricts the well known balanced truncation framework to prescribed frequency regions. The main emphasis is put on the efficient numerical realization of this model reduction approach. We discuss numerical methods to take care of the
Benner, P. ; https://orcid.org/0000-0003-3362-4103 +2 more
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A dual reduction strategy for reduce-order modeling of periodic control system
Results in Control and Optimization, 2021 Model order reduction (MOR) of periodic systems using the Krylov subspace methods received lots of interest in last few decades. In this paper, a structured Krylov subspace based model reduction for linear discrete-time periodic (LDTP) control system has
Mohammad-Sahadet Hossain +2 more
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Reduction of Large-Scale Dynamical Systems by Extended Balanced Singular Perturbation Approximation [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 A simplified approach for model order reduction (MOR) idea is planned for better understanding and explanation of large- scale linear dynamical (LSLD) system.
Santosh Kumar Suman, Awadhesh Kumar
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Ecological Indicators, 2021 Eco-efficiency (EE) is an important indicator to reflect the level of sustainable economic growth. This article places contribution to the existing literature by examining the relationship between innovation and eco-efficiency by incorporating three ...
Yusen Luo +3 more
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Model reduction of dissipative systems by balanced truncation [PDF]
IFAC Proceedings Volumes, 2008 Abstract Given a dissipative system behavior with general supply rate, say a Σ-dissipative system, we propose a balanced truncation method to obtain a reduced-order system behavior which is again Σ-dissipative. This methods applies to driving variable representations of systems. A one-step error bound formula is discussed.
Ha, Minh B. +2 more
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Technical note: Equilibrium droplet size distributions in a turbulent cloud chamber with uniform supersaturation [PDF]
Atmospheric Chemistry and Physics, 2020 In a laboratory cloud chamber that is undergoing Rayleigh–Bénard convection, supersaturation is produced by isobaric mixing. When aerosols (cloud condensation nuclei) are injected into the chamber at a constant rate, and the rate of droplet activation is
S. K. Krueger
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On second-order cone positive systems
, 2021 Internal positivity offers a computationally cheap certificate for external (input-output) positivity of a linear time-invariant system. However, the drawback with this certificate lies in its realization dependency. Firstly, computing such a realization
Grussler, Christian, Rantzer, Anders
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Laguerre-Based Frequency-Limited Balanced Truncation of Discrete-Time Systems
MathematicsThis paper introduces a novel model order reduction (MOR) method for linear discrete-time systems, focusing on frequency-limited balanced truncation (BT) techniques. By leveraging Laguerre functions, we develop two efficient MOR algorithms that avoid the
Zhou Song, Qiu-Yan Song, Umair Zulfiqar
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