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Mashallah Matinfar

Mashallah Matinfar

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 35302496

Research

Title
Exponential Stability of Linear Systems with Multiple Time Delays
Type
JournalPaper
Keywords
Exponential stability, Multiple time-delays system, Matrix decomposition, Lyapunov-Krasovskii functional, LM
Year
2016
Journal پژوهش هاي رياضي
DOI
Researchers Yadollah Ordokhani ، Elham Taghizadeh ، Dariush Behmardi ، Mashallah Matinfar

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.