Stability analysis of nonlinear fractional-order systems with variable-time impulses

被引：61

作者：

Song, Qiankun ^{[1
]}

Yang, Xujun ^{[2
]}

Li, Chuandong ^{[2
]}

Huang, Tingwen ^{[3
]}

Chen, Xiaofeng ^{[1
]}

机构：

[1] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China

[2] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China

[3] Texas A&M Univ Qatar, POB 23874, Doha, Qatar

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 07期

基金：

中国国家自然科学基金;

关键词：

FUNCTIONAL-DIFFERENTIAL EQUATIONS; NEURAL-NETWORKS; COMPARISON PRINCIPLE; LYAPUNOV FUNCTIONS; DERIVATIVES;

D O I：

10.1016/j.jfranklin.2017.01.029

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper aims at analyzing the stability analysis for a class of variable-time impulsive fractional order nonlinear systems. Based on the theory of fractional calculus, the theory of impulsive differential equation, inequality techniques, and the B-equivalence method, the variable-time jump operator of the considered system can be updated as a fixed-time substitution, and the fractional-order system with the latter operator can be regarded as the comparison system of the original system. In addition, both graphic illustration and theoretical explanation are presented. Finally, two numerical examples are shown to demonstrate the validity and feasibility of the obtained results. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2959 / 2978

页数：20

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