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

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蚊帳

Book 2022.This book celebrates Professor Thanos Antoulas‘s 70th birthday, marking his fundamental contributions 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.?.

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https://doi.org/10.1007/978-3-030-95157-3Systems theory and control; Model Reduction; Data-driven Modeling; System Identification; Approximation

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The Rational Interpolation Problem: Grassmannian and Loewner-Matrix Approachese also provide an introduction to some recent work on free noncommutative function theory, in particular noncommutative rational functions, where some results paralleling the classical single-variable case have been obtained but where many other basic issues remain to be resolved.

Cupping

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 corresponding first interpolant.

Dignant

Model Reduction and Realization Theory of Linear Switched Systemszation theory of these systems. The emphasis will be on those results on model reduction which are directly related to realization theory, we do not aim at being exhaustive. In particular, we will review some recent results on balanced truncation and moment matching, focusing on the theoretical aspects rather than on the computational ones.

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Christopher Beattie,Peter Benner,Sanda LefteriuProf. Antoulas is renowned for his fundamental research contributions.This Festschrift is being published for a conference to celebrate Antoulas‘s 70th birthday.Model reduction is a timely and importa

CALL

Linear System Matrices of Rational Transfer Functionsed during the reduction procedure remain bounded. Since we use unitary transformations in both the reduction procedure and the computation of the eigenstructure, this guarantees that we computed the exact eigenstructure of a perturbed linear system matrix, but where the perturbation is of the order

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