Stability Analysis of the Nabla Distributed-Order Nonlinear Systems

被引：3
作者：
Wang, Cuihong [1 ]
Zhu, Tianfen [1 ]
Chen, Yangquan [2 ]
机构：
[1] Shanxi Normal Univ, Dept Math & Comp Sci, Taiyuan 030006, Peoples R China
[2] Univ Calif, Sch Engn, Mechatron Embedded Syst & Automat MESA Lab, 5200 North Lake Rd, Merced, CA 95343 USA
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 05期
关键词：
stability; Lyapunov direct method; Nabla fractional calculus; distributed-order; VARIABLE-ORDER; FRAMEWORK;
D O I：
10.3390/fractalfract6050228
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The stability of the nabla discrete distributed-order nonlinear dynamic systems is investigated in this paper. Firstly, a sufficient condition for the asymptotic stability of the nabla discrete distributed-order nonlinear systems is proposed based on Lyapunov direct method. In addition, some properties of the nabla distributed-order operators are derived. Based on these properties, a simpler criterion is provided to determine the stability of such systems. Finally, two examples are given to illustrate the validity of these results.
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收藏
页数：13
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