Volume 2, Issue 1 (9-2016)                   mmr 2016, 2(1): 69-78 | Back to browse issues page


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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
Abstract:   (3069 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. 

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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

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