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.

引用

页数：13

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