Name: On the Stability of Differential Equations
Creator: Miller, John J. H.
Keywords: Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), 0101 mathematics, Asymptotic properties of solutions to ordinary differential equations, 01 natural sciences, Real polynomials: location of zeros

On the stability of differential equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1972 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Control, volume 10, pages 639-648 (issn: 0036-1402,

Authors: Miller, John J. H.;

doi: 10.1137/0310047

On the Stability of Differential Equations

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Abstract

A polynomial is said to be of type $(p_1 ,p_2 ,p_3 )$ relative to any directed line in the complex plane if it has $p_1 $ zeros to the left of, $p_2 $ on, and $p_3 $ to the right of the line. Stabi...

Keywords

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Asymptotic properties of solutions to ordinary differential equations, Real polynomials: location of zeros

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