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

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

Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (2): 188-195.doi: 10.13371/j.cnki.chin.q.j.m.2019.02.006

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

School of Mathematics,Pingxiang University

Accepted:2018-08-26 Online:2019-06-30 Published:2020-10-06
About author:QI Yong-fang(corresponding author)(1984-), male, native of Pingxiang, a teacher of Pingxiang University, Master's degree, engages in Di®erential theory.
Supported by:
Supported by the Natural Science Foundation of China(11661065)； Youth Fundation of Pingxiang University；

Abstract

Abstract: 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.

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

CLC Number:

QI Yong-fang, PENG You-hua. Stability Analysis of Fractional Nonlinear Dynamic Systems With Order Lying in (1,2)[J]. Chinese Quarterly Journal of Mathematics, 2019, 34(2): 188-195.

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

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