A projection-based algorithm for model-order reduction with \(H_2\) performance: a convex-optimization setting
type: Item
instance of: scholarly article
title: A projection-based algorithm for model-order reduction with \(H_2\) performance: a convex-optimization setting
zbMATH Open document ID: 1400.93044
author: Salim Ibrir
published in: Automatica
publication date: 2018-10-17T00:00:00Z
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93-04
Mathematics Subject Classification ID: 93B17
zbMATH DE Number: 6957801
zbMATH Keywords: suboptimal \(H_2\)-model-order reduction
zbMATH Keywords: model-order reduction of nonlinear systems
zbMATH Keywords: electrical circuits
zbMATH Keywords: convex-optimization
zbMATH Keywords: input-to-state-stable (ISS) systems
MaRDI profile type: Publication
full work available at URL: j.automatica.2018.03.052
OpenAlex ID: W2808106203
cites work: Approximation of Large-Scale Dynamical Systems
cites work: A survey of model reduction methods for large-scale systems.
cites work: Model Reduction for Nonlinear Systems by Incremental Balanced Truncation
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Model reduction of homogeneous-in-the-state bilinear systems with input constraints
cites work: On an improved model reduction technique for nonlinear systems
cites work: Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators
cites work: Computation of nonlinear balanced realization and model reduction based on Taylor series expansion
cites work: Model reduction of discrete time systems through linear matrix inequalities*
cites work: All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
cites work: Optimal \(H_ \infty\) model reduction via linear matrix inequalities: continuous- and discrete-time cases
cites work: L2 and L2 - L model reduction via linear matrix inequalities
cites work: A Survey of Model Reduction by Balanced Truncation and Some New Results
cites work: $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
cites work: The optimal projection equations for model reduction and the relationships among the methods of Wilson, Skelton, and Moore
cites work: Model reduction of a class of nonlinear systems: a convex-optimization approach
cites work: Model reduction of a class of discrete-time nonlinear systems
cites work: A subspace approach to balanced truncation for model reduction of nonlinear control systems
cites work: Singular perturbation approximation of balanced systems
cites work: Principal component analysis in linear systems: Controllability, observability, and model reduction
cites work: Time domain model order reduction using general orthogonal polynomials for K-power bilinear systems
cites work: Optimal Hankel model reduction for nonminimal systems
cites work: Balancing for nonlinear systems
cites work: H∞ balancing for nonlinear systems
cites work: Q3527077
cites work: Model reduction using balanced realizations with improved low frequency behaviour
cites work: The ADI iteration for Lyapunov equations implicitly performsH2pseudo-optimal model order reduction
cites work: H8model reduction for linear time-delay systems: Continuous-time case
cites work: An approximate approach to H/sup 2/ optimal model reduction
DOI: 10.1016/J.AUTOMATICA.2018.03.052
description: scientific article; zbMATH DE number 6957801