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Subject Keyword Abstract Author
LP Conditions for Stability and Stabilization of Positive 2D Discrete Statedelayed Roesser Models

Mohamed Bolajraf
International Journal of Control, Automation, and Systems, vol. 16, no. 6, pp.2814-2821, 2018

Abstract : This paper deals with the stability and stabilization problems for positive 2D systems described by a linear discrete-time Roesser model with delays. A linear programming (LP) approach is used to establish the necessary and sufficient conditions for asymptotic stability of the positive 2D state delayed Roesser model. Furthermore, a design procedure for memory, non-negative memory and memoryless state feedback controllers is given by solving a certain LP problem. Two examples are included to illustrate the effectiveness of the proposed results.

Keyword : Discrete linear state-delayed 2D systems, linear programing, memory controller, memoryless controller, positive 2D Roesser model, stability, stabilization.

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