<?xml version="1.0" encoding="UTF-8"?> <article key="pdf/9998059" mdate="2014-04-05 00:00:00"> <author>Hong Li and Shou-Ming Zhong and Hou-Biao Li</author> <title>Stability Analysis of Fractional Order Systems with Time Delay</title> <pages>660 - 663</pages> <year>2014</year> <volume>8</volume> <number>4</number> <journal>International Journal of Mathematical and Computational Sciences</journal> <ee>https://publications.waset.org/9998059.pdf</ee> <url>https://publications.waset.org/vol/88</url> <publisher>World Academy of Science, Engineering and Technology</publisher> <abstract>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 &amp;amp;lt; &amp;amp;alpha; &amp;amp;le; 1 and with order 1 &amp;amp;le; &amp;amp;beta; &amp;amp;lt; 2, one may get more relevant theorems. Finally, two examples are provided to demonstrate the effectiveness of our results. </abstract> <index>Open Science Index 88, 2014</index> </article>