非单构系统的渐近特性分析
Analysis of Asymptotic Behavior for Non-Simple Systems
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摘要: 本文讨论了当系统的Qμ为非单构矩阵时,多变量系统根轨迹的渐近特性分析. 文中采用了"逐步递减消去法"把非单构系统转换成单构系统,从而使渐近特性分 析成为可能.文中给出了在各种条件下,计算系统无穷零点的阶数、渐近方向和支 点的公式,可供分析系统之用.Abstract: In this paper, the analysis of asymptotic behavior of root loci for multivariable system with Qu being nonsimple matrix has been discussed. A method of Progressive Reductive Elimination (PRE) is used to transform a system with non-simple structure to a simple structure one, thus makes the analysis possible. Formulae for calculating orders, directions of asymptotes and pivots of infinite zeros of a system have been given in different conditions. They cart be used to analyze systems.
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