February 8, 2023
Mashallah Matinfar

Mashallah Matinfar

Degree: Associate professor
Address:
Education: Ph.D in Applied Mathematics
Phone: 35302496
Faculty: Faculty of Mathematical Sciences

Research

Title Exponential Stability of Linear Systems with Multiple Time Delays
Type Article
Keywords
Exponential stability, Multiple time-delays system, Matrix decomposition, Lyapunov-Krasovskii functional, LM
Journal پژوهش های ریاضی
DOI
Researchers Yadollah Ordokhani (First researcher) , Elham Taghizadeh (Second researcher) , Dariush Behmardi (Third researcher) , Mashallah Matinfar (Fourth researcher)

Abstract

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.