Titlebook: Realization and Model Reduction of Dynamical Systems; A Festschrift in Hon Christopher Beattie,Peter Benner,Sanda Lefteriu Book 2022 Spring

書(shū)法

Balanced Truncation Model Reduction for Lifted Nonlinear Systemson a tubular reactor model. In the numerical results we show that our proposed approach can obtain reduced-order models that are more accurate than proper orthogonal decomposition reduced-order models in situations where the latter are sensitive to the choice of training data.

魅力

Structure-Preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systesented in the transfer function so that the polynomial part can be preserved with interpolatory methods. We propose an algorithm to generate effective interpolatory models and illustrate its effectiveness on a numerical example.

Pulmonary-Veins

Data-Driven Identification of Rayleigh-Damped Second-Order Systemss on rational approximation. To that aim, we propose an identification of the corresponding second-order system, extending the Loewner framework for this class of systems. The efficiency of the proposed method is demonstrated by means of various numerical benchmarks.

Instantaneous

Pseudospectra of Loewner Matrix Pencilshow pseudospectra of Loewner pencils can be used to investigate the influence of interpolation point location and partitioning on pole stability, the transient behavior of the realized system, and the effect of noisy measurement data. We include an algorithm to efficiently compute such pseudospectra by exploiting Loewner structure.

魅力

存在主義

ontributions to systems and control theory, especially model reduction and, more recently, data-driven modeling and system identification. Model reduction is a prominent research topic with wide ranging scientific and engineering applications.?.978-3-030-95159-7978-3-030-95157-3

使更活躍

Rinne-Test

The Conditioning of a Linear Barycentric Rational Interpolantd function values and converges exponentially when the nodes are conformal images of Chebyshev points. We show that the Lebesgue constant for this interpolant grows just logarithmically with the number of nodes under reasonable assumptions, extending results of Bos et al. in 2013 for the correspondi

DAFT

Learning Low-Dimensional Dynamical-System Models from Noisy Frequency-Response Data with Loewner Ratork investigates the robustness of the Loewner approach to noise. The key finding is that if the measurements are polluted with Gaussian noise, then the error due to noise grows at most linearly with the standard deviation with high probability under certain conditions. The analysis gives insights i

政府

Pseudospectra of Loewner Matrix Pencilse eigenvalues of these pencils reveal system poles. How robust are the poles recovered via Loewner realization? With several simple examples, we show how pseudospectra of Loewner pencils can be used to investigate the influence of interpolation point location and partitioning on pole stability, the