On a Lyapunov approach to stability analysis of 2-D digital filters
On a Lyapunov approach to stability analysis of 2-D digital filters
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DOI：
10.1109/81.329727
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发表时间：
1994-10
影响因子：
5.1
通讯作者：
Wu-Sheng Lu
中科院分区：
文献类型：
--
作者：
Wu-Sheng Lu
本文描述了用一类广义的二维Lyapunov方程对Fornashni-Marchesini状态空间中建模的二维数字滤波器进行稳定性分析的一种方法，该方法是基于Hinamoto最近提出的常数二维Lyapunov方程（见同上，vol. 40, no. 11）进行的。2，第102-10页，1993年)。证明了广义Lyapunov方程的使用缩小了Hinamoto的Lyapunov定理中状态空间数字滤波器稳定的“充分性”和“必要性”之间的差距。给出了求解广义二维Lyapunov方程数值解的可行方法。最后给出了一个算例来说明本文的主要结果。>
This paper describes an approach to the stability analysis of two-dimensional (2-D) digital filters that are modeled in the Fornashni-Marchesini state space using a class of generalized 2-D Lyapunov equations, the generalization was made based on the constant 2-D Lyapunov equation proposed recently by Hinamoto (see ibid., vol. 40, no. 2, p. 102-10, 1993). It is shown that the use of the generalized Lyapunov equations narrows the gap between "sufficiency" and "necessity" for a state-space digital filter to be stable, which occurs in Hinamoto's Lyapunov theorem. Feasible methods for finding numerical solutions of the generalized 2-D Lyapunov equation are also proposed. An example is included to illustrate the main results of the paper. >