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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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楼主: clannish
发表于 2025-3-30 11:25:49 | 显示全部楼层
A Loewner Matrix Approach to the Identification of Linear Time-Varying Systemsl are given, then . trajectories corresponding to them can be computed by factorizing a time-varying matrix directly constructed from the data. From such input-state-output trajectories an “unfalsified” linear time-varying model can be obtained solving a system of functional equations. Our approach
发表于 2025-3-30 16:08:25 | 显示全部楼层
Linear System Matrices of Rational Transfer Functionswe introduce the notion of strong minimality, and the corresponding conditions are shown to be sufficient for a polynomial system matrix to be strongly minimal. A strongly irreducible or minimal system matrix has the same structural elements as the rational matrix . which is also known as the transf
发表于 2025-3-30 19:18:04 | 显示全部楼层
Interpolation-Based Model Order Reduction for Quadratic-Bilinear Systems and , Optimal Approximationynamical systems. This kind of systems can be used to represent other nonlinear dynamical systems with strong nonlinearities such as exponent and high-order polynomials. This paper addresses the . optimal model approximation problem for this class of systems. To solve the model order reduction probl
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Modeling the Buck Converter from Measurements of Its Harmonic Transfer Function. They contain two semiconductor devices (typically a transistor and a diode) acting as switches which open and close periodically, together with an output filter in the form of an RLC circuit. These considerations render the buck converter as a periodically switched linear system. Thanks to the per
发表于 2025-3-31 10:20:10 | 显示全部楼层
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 aspe
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Structure-Preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systestems. We are able to take advantage of underlying structural features of the system in a way that preserves them in the reduced model, using approaches that incorporate regularization and a prudent selection of interpolation data. We focus on linear time-invariant systems and present a systematic t
发表于 2025-3-31 23:41:45 | 显示全部楼层
Data-Driven Identification of Rayleigh-Damped Second-Order Systemsx is given as a linear combination of the mass and stiffness matrices. These systems typically appear when performing various engineering studies, e.g., vibrational and structural analysis. In an experimental set-up, the frequency response of a system can be measured via various approaches, for inst
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