The Lp Stability Analysis of the Basic Functions for Fractional Order Systems

摘要：

In this paper, the Lp stability of the Mittag-Lef.er function with two parameters times a power law function tγ-1Eα,β(-λta) is discussed on the in.nite time interval. The necessary and suf.cient conditions of Lp stability are derived, which show that the discussed function is a continuous intermediate process connecting the exponential, power law and Mittag-Lef.er functions. A number of examples about the fractional order Lyapunov method and fractional order systems are illustrated to validate the concepts.

关键词： Fractional calculus Mittag-Leffler function Lp stability power law.

作者: Jingjing Zheng Yan Li Baodong Liu YangQuan Chen

作者单位: School of Mathematics, Shandong University,Jinan, Shandong 250061 School of Control Science andEngineering, Shandong University, Jinan, Shandong 250061, P. R. China Software College, Shandong University, Jinan,Shandong 250061 Center for Self-Organizing and Intelligent Systems (CSOIS), Electrical and Computer Engineering Depa

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 1048-1053

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）