6533b831fe1ef96bd129907e
RESEARCH PRODUCT
Stability andl1-Gain Analysis for Positive 2D Systems with State Delays in the Roesser Model
Zhaoxia DuanZhengrong XiangHamid Reza Karimisubject
VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Lyapunov functionArticle Subjectlcsh:MathematicsGeneral MathematicsGeneral EngineeringState (functional analysis)Linear matrixlcsh:QA1-939Stability (probability)symbols.namesakelcsh:TA1-2040Control theoryStability theorysymbolslcsh:Engineering (General). Civil engineering (General)Mathematicsdescription
This paper considers the problem of delay-dependent stability andl1-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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 | Mathematical Problems in Engineering |