Hyers-Ulam-Rassias stability analysis of dynamic systems with delays

Author

De la Sen, Manuel

fYear

2015

fDate

23-25 May 2015

Firstpage

5346

Lastpage

5351

Abstract

This paper investigates stability and asymptotic properties of the error with respect to its nominal version of a non-linear time-varying perturbed functional differential system subject to point, finite-distributed and Volterra-type distributed delays associated with joint linear dynamics together with a class of a wide class of nonlinear delayed dynamics. The boundedness of the error and its asymptotic convergence to zero are investigated while the given results are obtained based on the Hyers-Ulam-Rassias analysis.

Keywords

approximation theory; convergence of numerical methods; delays; distributed parameter systems; nonlinear dynamical systems; stability; time-varying systems; Hyers-Ulam-Rassias stability analysis; Volterra-type distributed delays; asymptotic convergence; dynamic systems; finite-distributed delays; joint linear dynamics; nonlinear delayed dynamics; nonlinear time-varying perturbed functional differential system; point delays; Additives; Asymptotic stability; Convergence; Delays; Joints; Nonlinear dynamical systems; Stability analysis; Hyers-Ulam-Rassias stability; Volterra distributed delays; distributed delays; point delays; time-delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7162877

Filename

7162877