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A new sufficient condition for the global asymptotic stability of two-dimensional (2-D) state-space digital filters described by the Roesser model employing saturation arithmetic is presented. The new condition not only unifies a string of previous stability results, but also yields improvement over them, hence enlarging the overflow stability region of 2-D digital filters.
A criterion for the global asymptotic stability of 2-D state-space digital filters described by the Roesser model employing state saturation arithmetic is presented. The criterion is a modified form of a recently reported criterion. An example shows the effectiveness of the modified criterion.
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