Calculation of eigenvalues and their distribution for linear systems
type: Item
instance of: scholarly article
title: Calculation of eigenvalues and their distribution for linear systems
zbMATH Open document ID: 0912.93028
DOI: 10.1007/BF02917017
published in: Science in China. Series E
publication date: 1998-10-13T00:00:00Z
review text: Two methods for calculating the eigenvalues of linear control systems are proposed; they are based on the Schwartz form of the state matrix. The first method implements the root locus technique to determine the eigenvalues step by step from low order systems to high order systems. The second method utilises the property of the Schwartz matrix to determine the factors of the characteristic equation of the system by a searching method. A method for determining the number of eigenvalues in each half of the complex plane is also presented.
Mathematics Subject Classification ID: 93B60
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 1210231
zbMATH Keywords: eigenvalues of linear control systems
zbMATH Keywords: Schwartz form
zbMATH Keywords: root locus technique
author: Chunbo Feng
reviewed by: Petko Hr. Petkov
MaRDI profile type: Publication
cites work: Q4120402
cites work: Q4248651
full work available at URL: https://doi.org/10.1007/bf02917017
OpenAlex ID: W2037447454
description: scientific article; zbMATH DE number 1210231