STABILITY SYSTEMS VIA HURWITZ POLYNOMIALS

To analyze the stability of a linear system of differential equations  ẋ = Ax we can study the location of the roots of the characteristic polynomial pA(t) associated with the matrix A. We present various criteria - algebraic and geometric - that help us to determine where the roots are located with...

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Bibliographic Details
Main Authors: BALTAZAR AGUIRRE HERNÁNDEZ, CARLOS ARTURO LOREDO VILLALOBOS, EDGAR CRISTIAN DÍAZ GONZÁLEZ, ERICK CAMPOS CANTÓN
Format: Article
Language:English
Published: Universidad de Costa Rica 2017-01-01
Series:Revista de Matemática: Teoría y Aplicaciones
Subjects:
Online Access:https://revistas.ucr.ac.cr/index.php/matematica/article/view/27751
Description
Summary:To analyze the stability of a linear system of differential equations  ẋ = Ax we can study the location of the roots of the characteristic polynomial pA(t) associated with the matrix A. We present various criteria - algebraic and geometric - that help us to determine where the roots are located without calculating them directly.
ISSN:2215-3373