Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties

This paper is concerned with robust stability analysis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. In particular, the underlying parameter uncertainties of system parameter matrices are assumed to belong to a convex bounded uncertain domain, which usually is named as the so...

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Main Authors: Yan Zhao, Tieyan Zhang, Dan Zhao, Fucai You, Miao Li
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/159745
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spelling doaj-5a0b57810bce4bb2a78b6de6e53ec9b22020-11-25T00:49:53ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/159745159745Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter UncertaintiesYan Zhao0Tieyan Zhang1Dan Zhao2Fucai You3Miao Li4School of Renewable Energy, Shenyang Institute of Engineering, Shenyang, Liaoning 110136, ChinaSchool of Renewable Energy, Shenyang Institute of Engineering, Shenyang, Liaoning 110136, ChinaSchool of Renewable Energy, Shenyang Institute of Engineering, Shenyang, Liaoning 110136, ChinaSchool of Renewable Energy, Shenyang Institute of Engineering, Shenyang, Liaoning 110136, ChinaSchool of Engineering and Information Technology, Murdoch University, Perth, WA 6150, AustraliaThis paper is concerned with robust stability analysis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. In particular, the underlying parameter uncertainties of system parameter matrices are assumed to belong to a convex bounded uncertain domain, which usually is named as the so-called polytopic uncertainty and appears typically in most practical systems. Robust stability criteria are proposed for verifying the robust asymptotical stability of the related uncertain Roesser-type discrete-time 2D systems in terms of linear matrix inequalities. Indeed, a parameter-dependent Lyapunov function is applied in the proof of our main result and thus the obtained robust stability criteria are less conservative than the existing ones. Finally, the effectiveness and applicability of the proposed approach are demonstrated by means of some numerical experiments.http://dx.doi.org/10.1155/2014/159745
collection DOAJ
language English
format Article
sources DOAJ
author Yan Zhao
Tieyan Zhang
Dan Zhao
Fucai You
Miao Li
spellingShingle Yan Zhao
Tieyan Zhang
Dan Zhao
Fucai You
Miao Li
Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties
Abstract and Applied Analysis
author_facet Yan Zhao
Tieyan Zhang
Dan Zhao
Fucai You
Miao Li
author_sort Yan Zhao
title Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties
title_short Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties
title_full Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties
title_fullStr Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties
title_full_unstemmed Robust Stability Criteria of Roesser-Type Discrete-Time Two-Dimensional Systems with Parameter Uncertainties
title_sort robust stability criteria of roesser-type discrete-time two-dimensional systems with parameter uncertainties
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description This paper is concerned with robust stability analysis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. In particular, the underlying parameter uncertainties of system parameter matrices are assumed to belong to a convex bounded uncertain domain, which usually is named as the so-called polytopic uncertainty and appears typically in most practical systems. Robust stability criteria are proposed for verifying the robust asymptotical stability of the related uncertain Roesser-type discrete-time 2D systems in terms of linear matrix inequalities. Indeed, a parameter-dependent Lyapunov function is applied in the proof of our main result and thus the obtained robust stability criteria are less conservative than the existing ones. Finally, the effectiveness and applicability of the proposed approach are demonstrated by means of some numerical experiments.
url http://dx.doi.org/10.1155/2014/159745
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AT tieyanzhang robuststabilitycriteriaofroessertypediscretetimetwodimensionalsystemswithparameteruncertainties
AT danzhao robuststabilitycriteriaofroessertypediscretetimetwodimensionalsystemswithparameteruncertainties
AT fucaiyou robuststabilitycriteriaofroessertypediscretetimetwodimensionalsystemswithparameteruncertainties
AT miaoli robuststabilitycriteriaofroessertypediscretetimetwodimensionalsystemswithparameteruncertainties
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