Robust Stability and Stabilization of Fractional-order systems

摘要：

In this paper, a brief summary is firstly given on the methods of researching the stability of fractional order linear time invariant (FO-LTI) systems and the results on FO-LTI systems proposed in the literature are also reviewed. Second, by a new way of disposing complex matrices, some new conditions for the stability of FO-LTI systems with order 0 <α < 2 are presented via the LMI and Kronecker product, respectively. In addition, the relationship between the stability of a fractional-order system and the stability of its equivalent ordinary integer- order system is also established. On the basis of this relationship, most of the stability related analysis in the ordinary integer-order systems may be used to the fractional-order systems with commensurate order.

关键词： Fractional-order systems Kronecker product linear matrix inequality (LMI) asymptotical stability robust asymptotical stabilization

作者: Hong Li Shou-ming Zhong Hou-biao Li

作者单位: School of Mathematics Sciences, University of Electronic Science andTechnology of China, Chengdu 610 School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 61

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-5

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）