Revista de Matemática: Teoría y Aplicaciones (Jan 2017)

STABILITY SYSTEMS VIA HURWITZ POLYNOMIALS

  • BALTAZAR AGUIRRE HERNÁNDEZ,
  • CARLOS ARTURO LOREDO VILLALOBOS,
  • EDGAR CRISTIAN DÍAZ GONZÁLEZ,
  • ERICK CAMPOS CANTÓN

DOI
https://doi.org/10.15517/rmta.v24i1.27751
Journal volume & issue
Vol. 24, no. 1
pp. 61 – 77

Abstract

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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.

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