Hong Li and Shou-ming Zhong and Hou-biao Li Stability of Interval Fractionalorder Systems with Order 0 < α < 1
987 - 991
2012
6
8
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/1954
http://waset.org/publications/68
World Academy of Science, Engineering and Technology
In this paper, some brief sufficient conditions for the stability of FOLTI systems dαx(t) dtα Ax(t) with the fractional order are investigated when the matrix A and the fractional order α are uncertain or both α and A are uncertain, respectively. In addition, we also relate the stability of a fractionalorder system with order 0 < α ≤ 1 to the stability of its equivalent fractionalorder system with order 1 ≤ β < 2, the relationship between α and β is presented. Finally, a numeric experiment is given to demonstrate the effectiveness of our results.
International Science Index 68, 2012