The problem of global asymptotic stability (GAS) of two-dimensional (2-D) digital filters based on the Fornasini-Marchesini second local state-space (FMSLSS) model with saturation arithmetic is studied in this paper. A novel GAS criterion for the 2-D digital filter is presented. The obtained criterion is compared with several previously reported criteria.

中文翻译：

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基于 Fornasini-Marchesini 第二模型的饱和溢出无振荡二维数字滤波器的新颖可实现性准则

本文研究了基于 Fornasini-Marchesini 第二局部状态空间 (FMSLSS) 模型和饱和算法的二维 (2- D ) 数字滤波器的全局渐近稳定性 (GAS) 问题。提出了一种用于二维数字滤波器的新型 GAS 准则。将获得的标准与几个先前报告的标准进行比较。