标题：Lyapunov Function Method for Linear Fractional Order Systems
作者：Zhao Yige; Wang Yuzhen; Liu Zhi
作者机构：[Zhao Yige; Wang Yuzhen; Liu Zhi] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China.
会议名称：34th Chinese Control Conference (CCC)
会议日期：JUL 28-30, 2015
来源：2015 34TH CHINESE CONTROL CONFERENCE (CCC)
关键词：Fractional order system; Stability; Stabilization; Lyapunov function; method
摘要：Using the Lyapunov function method, this paper investigates the stability and the stabilization of linear fractional order systems, and presents a number of new results. First, some new properties of Caputo fractional derivative are presented. Then, a sufficient condition of asymptotical stability for fractional order systems is obtained by the Lyapunov function method. Furthermore, by designing state feedback controller for fractional order linear systems, asymptotical stabilization for closed-loop systems is considered. Finally, two illustrative examples are provided to illustrate main results.