LMI-based criterion for the robust stability of 2D discrete state-delayed systems using generalized overflow nonlinearities
type: Item
instance of: scholarly article
title: LMI-based criterion for the robust stability of 2D discrete state-delayed systems using generalized overflow nonlinearities
zbMATH Open document ID: 1235.93212
DOI: 10.1155/2011/271515
author: Anurita Dey
author: Haranath Kar
published in: Journal of Control Science and Engineering
publication date: 2012-03-09T00:00:00Z
review text: Summary: This paper addresses the problem of global asymptotic stability of a class of discrete uncertain state-delayed systems described by the Fornasini-Marchesini Second Local State-Space (FMSLSS) model using generalized overflow nonlinearities. The uncertainties are assumed to be norm bounded. A computationally tractable, that is, Linear Matrix Inequality-(LMI-) based new criterion for the global asymptotic stability of such system is proposed. It is demonstrated that several previously reported stability criteria for two-dimensional (2D) systems are recovered from the presented approach as special cases. Numerical examples are given to illustrate the usefulness of the presented approach.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 6013361
zbMATH Keywords: global asymptotic stability of a class of discrete uncertain state-delayed systems
zbMATH Keywords: Fornasini-Marchesini second local state-space (FMSLSS) model
zbMATH Keywords: linear matrix inequality (LMI)
Wikidata QID: Q58690791
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/271515
OpenAlex ID: W2140494207
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cites work: A 2-D systems approach to river pollution modelling
cites work: Application of 2D systems to investigation of a process of gas filtration
cites work: Realization using the Roesser model for implementations in distributed grid sensor networks
cites work: Lyapunov stability of two-dimensional digital filters with overflow nonlinearities
cites work: An improved criterion for the asymptotic stability of 2-D digital filters described by the Fornasini-Marchesini second model using saturation arithmetic
cites work: Stability analysis and stabilization of uncertain two-dimensional discrete systems: an LMI approach
cites work: Stability analysis for 2-D systems with interval time-varying delays and saturation nonlinearities
cites work: Some new results on stability robustness of two-dimensional discrete systems
cites work: On robust stability of 2-D discrete systems
cites work: Robust stability and stabilisation of 2d discrete state-delayed systems
cites work: Robust filtering for 2-D state-delayed systems with NFT uncertainties
cites work: Delay-dependent robust \(H_{\infty }\) filtering for uncertain 2-D state-delayed systems
cites work: Discrete-time sliding-mode control of uncertain systems with time-varying delays via descriptor approach
cites work: Robust guaranteed cost control for a class of two-dimensional discrete systems with shift-delays
cites work: Robust exponential stabilization of uncertain impulsive bilinear time-delay systems with saturating actuators
cites work: Output feedback \(H_{\infty}\) control for 2-D state-delayed systems
cites work: \(H_{\infty}\) filtering of 2-D discrete state-delayed systems
cites work: Delay-dependent \(H_{\infty}\) control for 2-D discrete state delay systems in the second FM model
cites work: Doubly-indexed dynamical systems: State-space models and structural properties
cites work: 2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model
cites work: Stabilization of Discrete-time 2-D T-S Fuzzy Systems Based on New Relaxed Conditions
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Stability of asynchronous two-dimensional Fornasini-Marchesini dynamical 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
cites work: H/sub infinity / control and quadratic stabilization of systems with parameter uncertainty via output feedback
description: scientific article; zbMATH DE number 6013361