DocumentCode
229364
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
fYear
2014
fDate
June 30 2014-July 4 2014
Firstpage
108
Lastpage
109
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICCTPEA.2014.6893307
Filename
6893307
Link To Document