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.
引用
收藏
页码：1 / 10
页数：10
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