Abstract

AGUIRRE-HERNANDEZ, Baltazar; LOREDO-VILLALOBOS, Carlos Arturo; DIAZ-GONZALEZ, Edgar Cristian  and  CAMPOS-CANTON, Eric. Stability systems via Hurwitz polynomials. Rev. Mat [online]. 2017, vol.24, n.1, pp.61-77. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v24i1.27751.

To analyze the stability of a linear system of differential equations x˙ = 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.

Keywords : Hurwitz polynomials; system stability; stability criteria.

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