Stability and l(1)-gain analysis for positive 2D Systems with state delays in the Roesser Model
Journal article, Peer reviewed
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Original versionDuan, Z.X., Karimi, H.R., & Xiang, Z.R. (2013). Stability and l(1)-Gain Analysis for Positive 2D Systems with State Delays in the Roesser Model. Mathematical Problems in Engineering. doi: 10.1155/2013/169713 10.1155/2013/169713
This paper considers the problem of delay-dependent stability and l(1)-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, l(1)-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.
Published version of a paper from the journal: Mathematical Problems in Engineering. Also available from Hindawi: http://dx.doi.org/10.1155/2013/169713