Stability Analysis of Fractional Order Systems with Time Delay

نویسندگان

  • Hong Li
  • Shou-Ming Zhong
  • Hou-Biao Li
چکیده

In this paper, we mainly study the stability of linear and interval linear fractional systems with time delay. By applying the characteristic equations, a necessary and sufficient stability condition is obtained firstly, and then some sufficient conditions are deserved. In addition, according to the equivalent relationship of fractional order systems with order 0 < α ≤ 1 and with order 1 ≤ β < 2, one may get more relevant theorems. Finally, two examples are provided to demonstrate the effectiveness of our results. Keywords—Fractional order systems, Time delay, Characteristic

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تاریخ انتشار 2014