A new Lyapunov stability analysis of fractional-order systems with nonsingular kernel derivative

被引：13
|
作者：
Salahshour, Soheil [1 ]
Ahmadian, Ali [2 ,4 ]
Salimi, Mehdi [3 ,4 ]
Pansera, Bruno Antonio [4 ]
Ferrara, Massimiliano [4 ]
机构：
[1] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey
[2] Natl Univ Malaysia, Inst Ind Revolut 4 0, Bangi 43600, Selangor, Malaysia
[3] Tech Univ Dresden, Dept Math, Ctr Dynam, D-01062 Dresden, Germany
[4] Univ Mediterranea Reggio Calabria, Econ & Human Sci & Decis Lab, Dept Law, Reggio Di Calabria, Italy
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2020年 / 59卷 / 05期
关键词：
Fractional-order system; Nonautonomous system; Caputo-Fabrizio derivative; Exponential stability; Lyapunov function; COMPUTATION;
D O I：
10.1016/j.aej.2020.03.040
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This study introduces a new and promising stability approach for Caputo-Fabrizio (CF)-fractional-order system. A new fractional comparison principle for this nonsingular kernel fractional derivative is proposed. Next, a key inequality is suggested to analysis the Lyapunov-based stability of assumed systems. Afterwards, class-K functions are established to analysis of fractional Lyapunov direct method. At last, an explanatory example is given to validate the proposed idea. This new and novel approach can be expanded to the other types of nonsingular kernel derivatives due to a simple and effective idea beyond the proposed procedure. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
引用
收藏
页码：2985 / 2990
页数：6
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