Volume 2, Issue 1 (9-2016)
mmr 2016, 2(1): 69-78 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Ordokhani Y, Taghizadeh E, Behmardi D, Matin Far M. Exponential Stability of Linear Systems with Multiple Time Delays. mmr 2016; 2 (1) :69-78
URL: http://mmr.khu.ac.ir/article-1-2578-en.html
URL: http://mmr.khu.ac.ir/article-1-2578-en.html
Abstract: (3601 Views)
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.
Keywords: : Exponential stability, Multiple time-delays system, Matrix decomposition, Lyapunov-Krasovskii functional, LMI
Type of Study: S |
Subject:
alg
Received: 2017/01/16 | Revised: 2017/09/13 | Accepted: 2017/01/16 | Published: 2017/01/16 | ePublished: 2017/01/16
Received: 2017/01/16 | Revised: 2017/09/13 | Accepted: 2017/01/16 | Published: 2017/01/16 | ePublished: 2017/01/16
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
