Stability analysis of 2-D digital filters described by the Fornasini-Marchesini second model using overflow nonlinearities
Stability analysis of 2-D digital filters described by the Fornasini-Marchesini second model using overflow nonlinearities
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DOI：
10.1109/81.922464
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发表时间：
2001-05
影响因子：
5.1
通讯作者：
H. Kar;Vimal Singh
中科院分区：
文献类型：
--
作者：
H. Kar;Vimal Singh
本文讨论了由Fernasini-Marchesini第二局部状态空间模型描述的具有溢出非线性的二维数字滤波器的全局渐近稳定性的新判据。对于饱和和三角算术，所提出的方法将总是导致一个更大的溢出稳定区域中的参数空间，相比，最近的标准，由于刘;对于其他溢出非线性，新的标准通常可以提供的结果作为补充，可从刘的标准。该方法导致一个更宽松的饱和溢出稳定性条件相比，最近的标准，由于Hinamoto。最后，该方法被扩展到涉及量化非线性的情况。
This paper discusses new criteria for the global asymptotic stability of two-dimensional (2-D) digital filters described by the Fernasini-Marchesini second local state-space model subject to overflow nonlinearities. For saturation and triangular arithmetics, the presented approach will always lead to a larger overflow stability region in the parameter-space, as compared to a recent criterion due to Liu; for other overflow nonlinearities, new criteria may generally provide results as supplement to those obtainable from Liu's criterion. The approach leads to a more relaxed saturation overflow stability condition, as compared to a recent criterion due to Hinamoto. Finally, the approach is extended to the situations involving quantization nonlinearities.