Lyapunov Characterization of the Fractional Nonlinear Systems with Exogenous Input

被引：17
|
作者：
Sene, Ndolane [1 ]
机构：
[1] Univ Cheikh Anta Diop Dakar, Dept Math Decis, Lab Lmdan, BP 5683, Dakar, Senegal
来源：
FRACTAL AND FRACTIONAL | 2018年 / 2卷 / 02期
关键词：
Riemann-Liouville derivative; fractional nonlinear systems; conditional asymptotic stability; STABILITY ANALYSIS;
D O I：
10.3390/fractalfract2020017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with a Lyapunov characterization of the conditional Mittag-Leffler stability and conditional asymptotic stability of the fractional nonlinear systems with exogenous input. A particular class of the fractional nonlinear systems is studied. The paper contributes to giving in particular the Lyapunov characterization of fractional linear systems and fractional bilinear systems with exogenous input.
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收藏
页码：1 / 10
页数：10
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