On the Lyapunov theory for fractional order systems

被引：81
|
作者：
Gallegos, Javier A. [1 ,2 ]
Duarte-Mermoud, Manuel A. [1 ,2 ]
机构：
[1] Univ Chile, Dept Elect Engn, Av Tupper Santiago 2007, Santiago, Chile
[2] Univ Chile, Adv Min Technol Ctr, Av Tupper Santiago 2007, Santiago, Chile
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 287卷
关键词：
Lyapunov theory; Fractional order system; Stability; EQUATIONS; STABILITY;
D O I：
10.1016/j.amc.2016.04.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide the main features of Lyapunov theory when it is formulated for fractional order systems. We give consistent extensions of Lyapunov, LaSalle and Chetaev classical theorems to the case of fractional order systems. We give examples to illustrate the applications of the concepts and propositions introduced. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：161 / 170
页数：10
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