WASET
	%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