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Stability and l1-Gain Analysis for Positive 2D Systems with State Delays in the Roesser Model
Joint Authors
Duan, Zhaoxia
Xiang, Zhengrong
Karimi, Hamid Reza
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper considers the problem of delay-dependent stability and l1-gain analysis for positive 2D systems with state delays described by the Roesser model.
Firstly, the copositive-type Lyapunov function method is used to establish the sufficient conditions for the addressed positive 2D system to be asymptotically stable.
Then, l1-gain performance for the system is also analyzed.
All the obtained results are formulated in the form of linear matrix inequalities (LMIs) which are computationally tractable.
Finally, an illustrative example is given to verify the effectiveness of the proposed results.
American Psychological Association (APA)
Duan, Zhaoxia& Karimi, Hamid Reza& Xiang, Zhengrong. 2013. Stability and l1-Gain Analysis for Positive 2D Systems with State Delays in the Roesser Model. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1008594
Modern Language Association (MLA)
Duan, Zhaoxia…[et al.]. Stability and l1-Gain Analysis for Positive 2D Systems with State Delays in the Roesser Model. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1008594
American Medical Association (AMA)
Duan, Zhaoxia& Karimi, Hamid Reza& Xiang, Zhengrong. Stability and l1-Gain Analysis for Positive 2D Systems with State Delays in the Roesser Model. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1008594
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008594