%0 Journal Article %A Liqiong Liu and Shouming Zhong %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 52, 2011 %T Finite-time Stability Analysis of Fractional-order with Multi-state Time Delay %U https://publications.waset.org/pdf/3656 %V 52 %X In this paper, the finite-time stabilization of a class of multi-state time delay of fractional-order system is proposed. First, we define finite-time stability with the fractional-order system. Second, by using Generalized Gronwall's approach and the methods of the inequality, we get some conditions of finite-time stability for the fractional system with multi-state delay. Finally, a numerical example is given to illustrate the result. %P 641 - 644