Stability Analysis of Fractional Order Systems with Time Delay

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.

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

• Fractional order systems
• Time delay
• Characteristic equation.

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