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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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