Stability and stabilization of uncertain 2-D discrete systems with stochastic perturbation
type: Item
instance of: scholarly article
title: Stability and stabilization of uncertain 2-D discrete systems with stochastic perturbation
zbMATH Open document ID: 1070.93043
author: Huijun Gao
author: James Lam
author: Shengyuan Xu
author: Changhong Wang
published in: Multidimensional Systems and Signal Processing
publication date: 2005-05-17T00:00:00Z
review text: The authors adapt the Lyapunov-based LMI approach to design the robust controller for the linear discrete 2-D system, to a case with random disturbances. They provide sufficient stability conditions for the cases with and without uncertainties, respectively, and also give a design procedure for the stabilising state feedback loop. A simple numerical illustrative example is provided too.
reviewed by: Krzysztof Gałkowski
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 15A39
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 2168253
zbMATH Keywords: LMI
zbMATH Keywords: stochastic 2D systems
zbMATH Keywords: robust stability
zbMATH Keywords: robust stabilisation
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: s11045-004-4739-y
OpenAlex ID: W2035277082
cites work: On discrete stochastic bilinear systems stability
cites work: Optimal Stationary Control with State Control Dependent Noise
cites work: Stochastic $H^\infty$
cites work: Reduced-order H/sub ∞/ filtering for stochastic systems
cites work: 2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model
cites work: \(H_\infty\) filtering of 2-D discrete systems
cites work: \(H^{\infty}\) and robust control of 2-D systems in FM second model
cites work: H/sub ∞/ reduced-order approximation of 2-D digital filters
cites work: Stability analysis and stabilization of uncertain two-dimensional discrete systems: an LMI approach
cites work: Positive real control for uncertain two-dimensional systems
cites work: Doubly-indexed dynamical systems: State-space models and structural properties
cites work: H∞-type control for discrete-time stochastic systems
cites work: Robust \(H_\infty\) observer design of linear state delayed systems with parametric uncertainty: the discrete-time case
cites work: Robust stability and stabilization for singular systems with state delay and parameter uncertainty
cites work: A new discrete-time robust stability condition
cites work: Robust L/sub 2/-L∞ filtering for uncertain systems with multiple time-varying state delays
cites work: Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty
DOI: 10.1007/S11045-004-4739-Y
description: scientific article; zbMATH DE number 2168253