Title :
The stability analysis of differential-difference equations with linearly increasing time delay using MATLAB
Author :
Medennikov, Ivan P.
Author_Institution :
St.-Petersburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
The stability of linear differential-difference equations with linearly increasing time delay and time-dependent coefficients is studied in this work. The necessary and sufficient conditions of the asymptotic stability of such equations are given. The quadratic Lyapunov-Krasovskii functional is constructed. The sufficient conditions of the asymptotic stability, which derived using this functional, are presented. The results are illustrated using MATLAB.
Keywords :
Lyapunov methods; asymptotic stability; difference equations; MATLAB; asymptotic stability; differential-difference equations; quadratic Lyapunov-Krasovskii functional; stability analysis; time delay; time-dependent coefficients; Asymptotic stability; Delay effects; Educational institutions; Equations; MATLAB; Mathematical model; Stability analysis;
Conference_Titel :
Computer Technologies in Physical and Engineering Applications (ICCTPEA), 2014 International Conference on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5315-8
DOI :
10.1109/ICCTPEA.2014.6893307
