A weighted quasi-balanced model reduction method for 2-D discrete systems

Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers Pub Date : 1995-10-30 DOI:10.1109/ACSSC.1995.540849

H. Luo, W. Lu, A. Antoniou

引用次数: 6

Abstract

A new weighted quasi-balanced model reduction method for two-dimensional discrete systems with input and output weights is developed. The development of the new method can be divided into three distinct stages. First is the introduction of four auxiliary Lyapunov equations by which weighted controllability and observability quasi-gramians are defined. The second is the computation of the weighted quasi-gramians. The third is the definition of the weighted quasi-balanced realization. A 2-D filter of order

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二维离散系统的加权准平衡模型约简方法

针对具有输入输出权的二维离散系统，提出了一种新的加权准平衡模型约简方法。新方法的发展可分为三个不同的阶段。首先介绍了四个辅助李雅普诺夫方程，通过这些方程定义了加权可控性和可观察性拟格律。第二部分是加权拟格律的计算。第三部分是加权准平衡实现的定义。一个二维有序滤波器

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers

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