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: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/159745 |
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| _version_ | 1850224642165309440 |
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| author | Yan Zhao Tieyan Zhang Dan Zhao Fucai You Miao Li |
| author_facet | Yan Zhao Tieyan Zhang Dan Zhao Fucai You Miao Li |
| author_sort | Yan Zhao |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-5a0b57810bce4bb2a78b6de6e53ec9b2 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5a0b57810bce4bb2a78b6de6e53ec9b22025-08-20T02:05:34ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/159745 |
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