Relative error-based time-limited $\mathcal{H}_2$ model order reduction via oblique projection (Q6152360)

scientific article; zbMATH DE number 7803771

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English	Relative error-based time-limited $\mathcal{H}_2$ model order reduction via oblique projection	scientific article; zbMATH DE number 7803771

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scholarly article

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title

Relative error-based time-limited $\mathcal{H}_2$ model order reduction via oblique projection (English)

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Journal of the Franklin Institute

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publication date

13 February 2024

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full work available at URL

https://arxiv.org/abs/2212.08247

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zbMATH Keywords

$\mathcal{H}_2$ norm

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model order reduction

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oblique projection

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optimal

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relative error

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time-limited

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MaRDI profile type

MaRDI publication profile

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cites work

Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.

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Q5701653

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Low Rank Solution of Lyapunov Equations

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A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations

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Inexact methods for the low rank solution to large scale Lyapunov equations

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Truncated balanced realization of a stable non-minimal state-space system

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A Schur method for balanced-truncation model reduction

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Positive real and bounded real balancing for model reduction of descriptor systems

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Balanced truncation model reduction of second-order systems

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A subspace approach to balanced truncation for model reduction of nonlinear control systems

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All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†

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Balanced stochastic realizations

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A relative error bound for balanced stochastic truncation

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Interpolatory $H_\infty $ model reduction

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Interpolatory Methods for $$\mathcal{H}_{\infty }$$ Model Reduction of Multi-Input/Multi-Output Systems

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$\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems

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$\mathcal H_2$-optimal model reduction of MIMO systems

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Sylvester equations and projection-based model reduction.

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$H_2$ optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold

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Structure-Preserving $H^2$ Optimal Model Reduction Based on the Riemannian Trust-Region Method

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A trust-region method for $H_2$ model reduction of bilinear systems on the Stiefel manifold

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A projection-based algorithm for model-order reduction with $H_2$ performance: a convex-optimization setting

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Solution of finite-time optimal control problems with mixed end constraints in the s-domain

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Model reduction in limited time and frequency intervals

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An output error bound for time-limited balanced truncation

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An $L_T^2$-error bound for time-limited balanced truncation

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A Survey of Model Reduction by Balanced Truncation and Some New Results

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Balanced truncation model order reduction in limited time intervals for large systems

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Time/frequency-limited positive-real truncated balanced realizations

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Frequency- and time-limited balanced truncation for large-scale second-order systems

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Development of time-limited model reduction technique for one-dimensional and two-dimensional systems with error bound via balanced structure

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Time-interval model reduction of bilinear systems

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Model reduction via time-interval balanced stochastic truncation for linear time invariant systems

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Time-limited $\mathcal{H}_2$-optimal model order reduction

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$\mathcal{H}_2(t_f)$ optimality conditions for a finite-time horizon

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On frequency- and time-limited $\mathcal{H}_2$-optimal model order reduction

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Approximation of Large-Scale Dynamical Systems

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Frequency-weighted ℒ/sub ∞/ norm and optimal Hankel norm model reduction

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Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues

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Q4330991

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Interpolatory weighted-$\mathcal{H}_2$ model reduction

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Near-optimal frequency-weighted interpolatory model reduction

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Frequency-weighted ℋ2-optimal model order reduction via oblique projection

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Algorithm 832

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A Supernodal Approach to Sparse Partial Pivoting

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Identifiers

arXiv ID

2212.08247

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Mathematics Subject Classification ID

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10.1016/J.JFRANKLIN.2023.12.051

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Mathematics(1 entry)

mardi Publication:6152360

Relative error-based time-limited \(\mathcal{H}_2\) model order reduction via oblique projection (Q6152360)

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Sitelinks

Mathematics(1 entry)