Stability of mutually inverse rational 2-D digital transfer functions

Swamy M.N.S.; Roytman L.M.

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Stability of mutually inverse rational 2-D digital transfer functions

机译：互逆有理二维数字传递函数的稳定性

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This brief considers the open problem concerning the BIBO stability of mutually inverse 2-D digital filters in the presence of nonessential singularities of the second kind on T/sup 2/. Necessary and sufficient conditions are obtained for the BIBO stability of mutually inverse pairs of 2-D digital filters having such singularities on T/sup 2/. Several illustrative examples are considered.

机译：本简介考虑了在T / sup 2 /上存在第二种非奇异奇点的情况下有关相互逆二维数字滤波器的BIBO稳定性的开放问题。对于在T / sup 2 /上具有这种奇异性的2-D数字滤波器的相互相反的对，获得了BIBO稳定性的必要条件和充分条件。考虑了几个说明性示例。

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《IEEE Transactions on Circuits and Systems. 1》 |1995年第8期|P.464-466|共3页
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Swamy M.N.S.; Roytman L.M.;
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专利

1. Stability of mutually inverse rational 2-D digital transferfunctions [J] . Swamy M.N.S., Roytman L.M. IEEE Transactions on Circuits and Systems. I, Regular Papers . 1995,第8期

机译：互逆有理二维数字传递函数的稳定性
2. Partial realization of 2-D discrete linear system and 2-D Pade approximation and reduction of 2-D rational transfer function [J] . Sakata S. Proceedings of the IEEE . 1990,第4期

机译：二维离散线性系统的部分实现以及二维Pade逼近和二维有理传递函数的约简
3. General results concerning the BIBO stability of inverse 2-D digital filters [J] . Swamy M.N.S., Roytman L.M. IEEE Transactions on Circuits and Systems . 1990,第8期

机译：关于逆二维数字滤波器的BIBO稳定性的一般结果
4. Stability of mutually inverse rational 2-D digital transfer functions [C] . Swamy, M.N.S., Roytman, . 1994

机译：互逆有理二维数字传递函数的稳定性
5. 2-D POLYNOMIAL AND RATIONAL MATRICES, AND THEIR APPLICATIONS FOR THE MODELING OF 2-D DYNAMICAL SYSTEMS. [D] . LEVY, BERNARD CHRISTOPHE. 1981

机译：二维多项式和有理矩阵，及其在二维动力学系统建模中的应用。
6. Global exponential stability of Markovian jumping stochastic impulsive uncertain BAM neural networks with leakage mixed time delays and α-inverse Hölder activation functions [O] . C. Maharajan, R. Raja, Jinde Cao, -1

机译：具有泄漏混合时滞和α-逆Hölder激活函数的Markovian跳跃随机脉冲不确定BAM神经网络的全局指数稳定性
7. A digital signal processing perspective on a stability test of linear system transfer functions [O] . Stathaki T, Constantinides AG 1997

机译：线性系统传递函数稳定性检验的数字信号处理视角
8. A Simple Derivation of Minimal and Near-Minimal Realizations of 2-D Transfer Functions. [R] . Chan, D. K. 1977

机译：二维传递函数极小和近似最小实现的简单推导。

Stability of mutually inverse rational 2-D digital transfer functions

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