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This paper considers the problem of the guaranteed cost control for a class of two-dimensional (2-D) discrete systems described by the Roesser model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based criterion for the existence of robust guaranteed cost controller is established. Such controller render the closed-loop system asymptotically stable for all admissible uncertainties and guarantee an adequate level of performance.
Date of Conference: 21-24 Sept. 2008