A method for the calculation the real stability radius of bidimensional time-invariant systems

Abstract:

In this paper we obtain a method for the calculation the stability radius of the perturbed family σ δ : ẋ = [A + B δ C] x, when (A,B,C) j{cyrillic, ukrainian} L2 , l , q (ℝ), l, q j{cyrillic, ukrainian} Z* +; A is a Hurwitz-stable matrix; B ≠ 0, C ≠ 0 are given matrices specifying the structure of the perturbation, and δ j{cyrillic, ukrainian} ℝl×q represents the uncertainty of the perturbation. © 2013 Rosa Isabel Urquiza Salgado and Efren Vazquez Silva.

Año de publicación:

2013

Keywords:

• Stability radius
• Asymptotic stability of the solutions
• Perturbed systems of linear differential equations

Fuente:

scopus

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