New Stability Criterion for Fixed-Point State-Space Digital Filters With Generalized Overflow Arithmetic

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In this brief, a new criterion for the global asymptotic stability of fixed-point state-space digital filters using generalized saturation arithmetic is presented. Compared with some existing results, a distinct feature of the proposed criterion is that it can include the existing results as special cases or be less restrictive than them. Two examples are given to show this improvement over the existing conditions.