An LMI approach to robust optimal guaranteed cost control of 2-D discrete systems described by the Roesser model
type: Item
instance of: scholarly article
title: An LMI approach to robust optimal guaranteed cost control of 2-D discrete systems described by the Roesser model
zbMATH Open document ID: 1194.94077
author: Amit Dhawan
author: Haranath Kar
published in: Signal Processing
publication date: 2010-08-06T00:00:00Z
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 5764590
zbMATH Keywords: 2-D discrete systems
zbMATH Keywords: guaranteed cost control
zbMATH Keywords: Roesser model
zbMATH Keywords: linear matrix inequality
zbMATH Keywords: robust stability
zbMATH Keywords: Lyapunov methods
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: j.sigpro.2010.03.008
OpenAlex ID: W1987096986
cites work: Two-dimensional linear systems
cites work: Q4886159
cites work: Q4875338
cites work: Q3693370
cites work: A discrete state-space model for linear image processing
cites work: Two-dimensional digital filters with no overflow oscillations
cites work: Stability and the matrix Lyapunov equation for discrete 2-dimensional systems
cites work: The discrete-time strictly bounded-real lemma and the computation of positive definite solutions to the 2-D Lyapunov equation
cites work: A stability analysis of two-dimensional nonlinear digital state-space filters
cites work: Two-dimensional digital filters without overflow oscillations and instability due to finite word length
cites work: Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities
cites work: Stability analysis of 2-D digital filters with saturation arithmetic: an LMI approach
cites work: A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic
cites work: The margin of stability of 2-D linear discrete systems
cites work: \(H_\infty\) control and robust stabilization of two-dimensional systems in Roesser models
cites work: \(H_2\) and mixed \(H_2/H_\infty\) control of two-dimensional systems in Roesser model
cites work: LMI-based criterion for the robust guaranteed cost control of 2-D systems described by the Fornasini-Marchesini second model
cites work: Optimal guaranteed cost control of 2-D discrete uncertain systems: an LMI approach
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Equivalence of n-dimensional Roesser and Fornasini-Marchesini models
cites work: Robust stability and stabilisation of 2d discrete state-delayed systems
cites work: Two-dimensional state-space discrete models for hyperbolic partial differential equations
cites work: Discretized quadratic optimal control for continuous-time two-dimensional systems
DOI: 10.1016/J.SIGPRO.2010.03.008
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description: scientific article; zbMATH DE number 5764590