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Low order representation of nonlinear systems (2003)
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TL;DR: A simple approximation scheme based on multilinear algebra that extracts the low dimensional system from simulations of the high dimension system of ...
Low order representation of nonlinear systems
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Abstract: Finite dimensional BLS can be transformed either exactly or approximately into QLS (BLS with quadratical terms in x) of half dimension or lower, ...
Low Order Empirical Modeling for Nonlinear Systems
ScienceDirect.com
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由 BA Ogunnaike 著作1994被引用 21 次 — A simple, low order, empirical model structure is presented for approximating the dynamic behavior of single-input, single-output nonlinear systems.
Model order reduction for nonlinear systems
RLE at MIT
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RLE at MIT
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由 Y Chen 著作1999被引用 139 次 — And the "reduced" system has very close (input-output) behavior with the original system, that is, given input u(t), the reduced system(equations 1.3 and 1.4) ...
71 頁
Reduced Order Modeling of Nonlinear Control Systems
Springer
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Springer
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由 AJ Krener 著作被引用 31 次 — Summary. We consider the problem of model reduction for nonlinear control systems. We introduce the concept of input normal form of degree d and show that a ...
(PDF) Low Order Empirical Modeling for Nonlinear Systems
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A simple, low order, empirical model structure is presented for approximating the dynamic behavior of single-input, single-output nonlinear systems.
Learning Reduced-Order Linear Parameter-Varying ...
arXiv
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arXiv
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由 PJW Koelewijn 著作2023 — In this paper, we consider the learning of a Reduced-Order Linear Parameter-Varying Model (ROLPVM) of a nonlinear dynamical system based on data.
Model order reduction for random nonlinear dynamical ...
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由 R Pulch 著作2019被引用 8 次 — A reduced-order model implies a low-dimensional representation of the quantity of interest. We focus on model order reduction by proper orthogonal decomposition ...
Reduced Order Modeling of a Nonlinear Dynamical ...
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This example shows reduced order modeling (ROM) of a nonlinear system using a linear parameter varying (LPV) modeling technique. The nonlinear system used ...
COMPARING REDUCED ORDER MODEL FORMS FOR ...
ICAS - International Council of the Aeronautical Sciences
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ICAS - International Council of the Aeronautical Sciences
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由 D Massegur 著作被引用 2 次 — This work investigates the use of reduced order models to distill, both from data and equations, an equivalent but more advantageous mathematical representation ...