AUTHORS: Mohamed Bolajraf

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ABSTRACT: This paper studies the problems of stability and stabilization of positive general 2D delayed systems. Necessary and sufficient conditions are proposed for asymptotic stability of positive 2D discrete delayed system. Based on the obtained results, stabilizing controllers for general 2D system with delays are derived. All the obtained results are formulated in term of linear programming conditions, which are computationally tractable. Finally, illustrative examples are given.

KEYWORDS: Control and synthesis, memory and non-negative memory state feedback, memoryless state feedback, positive 2D delayed systems, linear programing

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