ROOT CLUSTERING OF A COMPLEX MATRIX IN AN ALGEBRAIC REGION

被引：16

作者：

GUTMAN, S

机构：

[1] Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1979年 / 24卷 / 04期

关键词：

D O I：

10.1109/TAC.1979.1102109

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Necessary and sufficient conditions are given for the eigenvalues of a complex matrix to lie in an algebraic region of the complex plane. These conditions are in terms of rational functions of the matrix coefficients, and are given either by Kronecker product matrices or by positive definite matrices. Finally, we remark on recent results concerning root clustering in a sector. © 1979 IEEE

引用

页码：647 / 650

页数：4

共 14 条

[1] SIMPLE TEST FOR ZEROS OF A COMPLEX POLYNOMIAL IN A SECTOR [J].