Noninstantaneous impulses in Caputo fractional differential equations and practical stability via Lyapunov functions

被引：38
作者：
Agarwal, Ravi [1 ]
Hristova, S. [2 ]
O'Regan, D. [3 ]
机构：
[1] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA
[2] Univ Plovdiv Paisii Hilendarski, Tzar Asen 24, Plovdiv 4000, Bulgaria
[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 07期
关键词：
EXISTENCE; RESPECT; SYSTEMS;
D O I：
10.1016/j.jfranklin.2017.02.002
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Practical stability of a nonlinear Caputo fractional differential equation with noninstantaneous impulses is studied using Lyapunov like functions. We present a new definition of the derivative of a Lyapunov like function along the given fractional differential equation with noninstantaneous impulses. Sufficient conditions for practical stability, practical quasi stability and strongly practical stability are established and several examples are given to illustrate the results. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：3097 / 3119
页数：23
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