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A unifying framework for tangential interpolation of structured bilinear control systems - MaRDI portal

A unifying framework for tangential interpolation of structured bilinear control systems (Q6193845)

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scientific article; zbMATH DE number 7819971

Language	Label	Description	Also known as
English	A unifying framework for tangential interpolation of structured bilinear control systems	scientific article; zbMATH DE number 7819971

Statements

scholarly article

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A unifying framework for tangential interpolation of structured bilinear control systems (English)

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Serkan Gugercin

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Steffen W. R. Werner

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Numerische Mathematik

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publication date

19 March 2024

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full work available at URL

https://arxiv.org/abs/2206.01657

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MaRDI profile type

MaRDI publication profile

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Approximation of Large-Scale Dynamical Systems

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Model Reduction of Bilinear Systems in the Loewner Framework

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A projection method for model reduction of bilinear dynamical systems

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Interpolation of rational matrix functions

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Inexact solves in interpolatory model reduction

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Interpolatory projection methods for structure-preserving model reduction

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Interpolation-Based ${\cal H}_2$-Model Reduction of Bilinear Control Systems

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Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems

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Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems

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Multipoint interpolation of Volterra series and \(\mathcal{H}_2\)-model reduction for a family of bilinear descriptor systems

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Structure-preserving interpolation of bilinear control systems

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System- and Data-Driven Methods and Algorithms

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Snapshot-Based Methods and Algorithms

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Krylov subspace methods for model order reduction of bilinear control systems

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Krylov subspaces from bilinear representations of nonlinear systems

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A Note on Projection Techniques for Model Order Reduction of Bilinear Systems

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Multipoint Volterra Series Interpolation and $\mathcal{H}_2$ Optimal Model Reduction of Bilinear Systems

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Model Reduction of MIMO Systems via Tangential Interpolation

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Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition

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Model Reduction of Descriptor Systems by Interpolatory Projection Methods

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Data-driven approximation of the Koopman generator: model reduction, system identification, and control

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Natural Bilinear Control Processes

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Bilinear control processes. With applications to engineering, ecology, and medicine

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Finite-data error bounds for Koopman-based prediction and control

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Interpolatory model reduction of parameterized bilinear dynamical systems

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On \(H_2\) model reduction of bilinear systems

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Identifiers

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10.1007/s00211-023-01380-w

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6193845

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