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

1到2分数阶非线性动力系统的稳定性分析(英文)
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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.
作者 QI Yong-fang PENG You-hua 漆勇方;彭友花(School of Mathematics,Pingxiang University)
机构地区 School of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 2019年第2期188-195,共8页 数学季刊(英文版)
基金 Supported by the Natural Science Foundation of China(11661065) Youth Fundation of Pingxiang University
关键词 Stability INSTABILITY FRACTIONAL system LYAPUNOV FUNCTION Stability Instability Fractional system Lyapunov function
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