| 一个无除法运算的复常系数线性系统的稳定性判据 |
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| 引用本文： | 赵振海,孙丽华,陈秀东. 一个无除法运算的复常系数线性系统的稳定性判据[J]. 大连理工大学学报, 1986, 0(4) |
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| 作者姓名： | 赵振海 孙丽华 陈秀东 |
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| 作者单位： | 大连工学院应用数学系，大连工学院应用数学系，大连工学院应用数学研究所 |
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| 摘 要： | 本文给出复常系数线性系统的稳定性判据。这个判据是以递推公式给出的，且仅 用系统的系数进行实数的加减、乘法运算，去掉了除法运算。因而，适合在电子计算 机上实现。这个判据对实系数线性系统当然适用，而且大大减少计算量。还可以用来 判别复系数多项式根的分布。
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| 关 键 词： | 自动化系统 线性系统 稳定性 判据/无除法运算 |
A Stability Criterion without Division Precess for Linear System with Constant Complex Coefficients |
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| zhao zhenhai,Sun Lihua,Chen Xiudong. A Stability Criterion without Division Precess for Linear System with Constant Complex Coefficients[J]. Journal of Dalian University of Technology, 1986, 0(4) |
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| Authors: | zhao zhenhai Sun Lihua Chen Xiudong |
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| Abstract: | In this paper, a stability criterion without division process for linear system with constant complex coefficients is proposed. Being given by a recur- sion formula, this criterion just deals with addition, subtraction and multiplic- ation of the coefficients of the characteristic polynomial, and therefore is easily implemented on electronic computer. Simplifying the calculating process, it greatly saves labor and time, and obtains higher accuracy. This method can be also applied to linear system with real coefficients. In addition, it can be used to determine the distribution of the roots of complex polynomia1 as well. |
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| Keywords: | automatic systems linear systems stability criterion/for no-division |
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