摘要
研究了内外分解和谱分解问题,并提出了新的计算方法.该方法的基本思想:矩阵的零极点分布与其逆矩阵的部分分式展开密切相关.通过应用复分析技术,可以得到上述两个问题的解析方程.实例表明,所提出算法与纯数字计算的方法相比,在计算上更为简便、高效.
The inner-outer and spectral factorization problems were studied and a new computation method to obtain an analytical formula for those two problems was proposed. The most prominent advantage of the proposed method lies in its intuitiveness and efficiency: all need to do in computation procedure is to find the open right half plane zeros of a system and their zero directions, the fact of which makes a sharp contrast to those numerical ones. The proposed method was illustrated by several numerical examples.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2007年第6期889-893,共5页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金(60474031)
上海市科技启明星项目(04QMH1405)
高校博士点基金(20030248040)
新世纪优秀人才支持计划(04-0383)资助项目
关键词
内外分解
谱分解
零点
零点方向
inner-outer factorization
spectral factorization
zero
zero direction