Title :
Hyers-Ulam-Rassias stability analysis of dynamic systems with delays
Author :
De la Sen, Manuel
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162877
