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This paper presents an-gain control design for two-dimensional (2D) delayed positive systems (PSs) in the Fornasini-Marchesini local state-space model. First, for a stable 2D delayed PS, the necessary and sufficient conditions are derived for the calculation of the exact value of the-gain. Then, the controller design is given with the aid of the singular value decomposition method, which ensures that the closed-loop system is asymptotically stable at the specified-gain level. In the end, two examples are provided to identify the validity and correctness of the results of the theory.

On l 1 -gain control for 2D delayed positive systems in FM LSS models: necessary and sufficient conditions