Abstract
The weighted impulse response Gramians of two-dimensional (2-D) separable denominator digital systems are defined based on the definition proposed by Sreeam and Agathoklis's literature for 1-D case. These Gramians are then applied to present a model reduction method for such 2-D systems. The reduced-order system is always stable if the original 2-D system is stable. A numerical example is illustrated and compared with a well-known 2-D model reduction method.
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