عنوان مقاله :
Exponential Stability of Linear Systems with Multiple Time Delays
پديد آورندگان :
Y، Ordokhani Faculty of Mathematical sciences - Alzahra University , E، Taghizadeh Faculty of Mathematical Sciences - University of Mazandaran , D، Behmardi Faculty of Mathematical sciences - Alzahra University , M، Matin Far Faculty of Mathematical Sciences - University of Mazandaran
كليدواژه :
Exponential stability , Multiple time-delays system , Matrix decomposition , Lyapunov- Krasovskii functional , LMI
چكيده لاتين :
In this paper، a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new system by using matrix decomposition and linear matrix inequality (LMI) technique. Some numerical examples are given to illustrate the efficiency of our method.
عنوان نشريه :
پژوهشهاي رياضي
عنوان نشريه :
پژوهشهاي رياضي
