1到2分数阶非线性动力系统的稳定性分析

漆勇方, 彭友花

doi:10.13371/j.cnki.chin.q.j.m.2019.02.006

数学季刊 >

2019 , Vol. 34 >Issue 2: 188 - 195

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.02.006

1到2分数阶非线性动力系统的稳定性分析

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School of Mathematics,Pingxiang University

QI Yong-fang(corresponding author)(1984-), male, native of Pingxiang, a teacher of Pingxiang University, Master's degree, engages in Di®erential theory.

录用日期: 2018-08-26

网络出版日期: 2020-10-06

基金资助

Supported by the Natural Science Foundation of China(11661065)； Youth Fundation of Pingxiang University；

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Stability Analysis of Fractional Nonlinear Dynamic Systems With Order Lying in (1,2)

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School of Mathematics,Pingxiang University

QI Yong-fang(corresponding author)(1984-), male, native of Pingxiang, a teacher of Pingxiang University, Master's degree, engages in Di®erential theory.

Accepted date: 2018-08-26

Online published: 2020-10-06

Supported by

Supported by the Natural Science Foundation of China(11661065)； Youth Fundation of Pingxiang University；

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摘要

One new theorem for Caputo fractional derivative and two new theorems for Caputo fractional order systems, when 1 < a < 2, are proposed in this paper. The results have proved to be useful in order to apply the fractional-order extension of Lyapunov direct method, to demonstrate the instability and the stability of many fractional order systems,which can be nonlinear and time varying.

关键词： Stability; Instability; Fractional system; Lyapunov function

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漆勇方, 彭友花 . 1到2分数阶非线性动力系统的稳定性分析[J]. 数学季刊, 2019 , 34(2) : 188 -195 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.02.006

Abstract

Key words： Stability; Instability; Fractional system; Lyapunov function

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