Exponential Stability of Linear Systems with Multiple Time Delays

Authors
Y Ordokhani
E Taghizadeh
D Behmardi
M Matin Far
10.29252/mmr.2.1.69
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.
Keywords
: Exponential stability
Multiple time-delays system
Matrix decomposition
Lyapunov-Krasovskii functional
LMI
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