Generalized \(H_{\infty}\) model reduction for stable two-dimensional discrete systems
type: Item
instance of: scholarly article
title: Generalized \(H_{\infty}\) model reduction for stable two-dimensional discrete systems
zbMATH Open document ID: 1368.93152
author: Xianwei Li
author: James Lam
author: K. C. Cheung
published in: Multidimensional Systems and Signal Processing
publication date: 2017-08-10T00:00:00Z
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6759359
zbMATH Keywords: finite frequency (FF)
zbMATH Keywords: generalized \(H_{\infty}\) norm
zbMATH Keywords: model reduction
zbMATH Keywords: two-dimensional (2-D) systems
describes a project that uses: YALMIP
describes a project that uses: SeDuMi
MaRDI profile type: Publication
full work available at URL: s11045-014-0306-3
OpenAlex ID: W1974501993
cites work: On the Kalman-Yakubovich-Popov lemma and the multidimensional models
cites work: Stability analysis and control design for 2-D fuzzy systems via basis-dependent Lyapunov functions
cites work: \(H_\infty\) control and filtering of two-dimensional systems
cites work: H/sub ∞/ reduced-order approximation of 2-D digital filters
cites work: Doubly-indexed dynamical systems: State-space models and structural properties
cites work: A linear matrix inequality approach to H∞ control
cites work: Q3369922
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: Generalized KYP lemma: unified frequency domain inequalities with design applications
cites work: Generalized \(S\)-procedure and finite frequency KYP lemma
cites work: Two-dimensional linear systems
cites work: Approximation of 2-D separable in denominator filters
cites work: Positivity-preserving \(H_\infty\) model reduction for positive systems
cites work: Generalized Kalman–Yakubovich–Popov Lemma for 2-D FM LSS Model
cites work: Balanced approximation of two-dimensional and delay-differential systems
cites work: A weighted balanced approximation for 2-D discrete systems and its application to model reduction
cites work: Principal component analysis in linear systems: Controllability, observability, and model reduction
cites work: A new discrete-time robust stability condition
cites work: Robust stability and stabilisation of 2d discrete state-delayed systems
cites work: Extended LMI characterizations for stability and performance of linear systems
cites work: An algorithm for model reduction of 2-D discrete time systems
cites work: A discrete state-space model for linear image processing
cites work: Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
cites work: An algorithm for balanced approximation and model reduction of 2-D Separable-in-Denominator filters
cites work: Energy-to-peak model reduction for 2-D discrete systems in Fornasini-Marchesini form
cites work: Positive real control for uncertain two-dimensional systems
cites work: Induced \(\mathfrak{L}_ 2\) norm model reduction of polytopic uncertain linear systems
cites work: Hankel-type model reduction for linear repetitive processes: differential and discrete cases
cites work: \(H_{\infty }\) model reduction of 2-D singular Roesser models
cites work: Non-fragile \(H_2\) and \(H_\infty\) filter designs for polytopic two-dimensional systems in Roesser model
cites work: $H_\infty$ Model Reduction in the Stochastic Framework
cites work: An approximate approach to H/sup 2/ optimal model reduction
cites work: \(H_2\) and mixed \(H_2/H_\infty\) control of two-dimensional systems in Roesser model
cites work: On \(H_2\) model reduction of bilinear systems
cites work: On gramians and balanced truncation of discrete-time bilinear systems
cites work: \(H_\infty \) model reduction for uncertain switched linear discrete-time systems
cites work: Model reduction of 2-D systems with frequency error bounds
DOI: 10.1007/S11045-014-0306-3
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description: scientific article; zbMATH DE number 6759359