文献类型：期刊文献

英文题名：Mittag-Leffler stability of fractional-order Lorenz and Lorenz-family systems

作者：Ke Yunquan[1];Miao Chunfang[1]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China

年份：2016

卷号：83

期号：3

起止页码：1237

外文期刊名：NONLINEAR DYNAMICS

收录：SCI-EXPANDED(收录号：WOS:000368688700008)、、EI(收录号：20153801298194)、Scopus(收录号：2-s2.0-84955189172)、WOS

基金：This work was supported by the Natural Science Foundation of Zhejiang Province (No. Y6100096).

语种：英文

外文关键词：Fractional-order; Lorenz system; Lorenz-family system; Mittag-Leffler stability

外文摘要：Based on the stability theory of fractional-order systems, using the fractional-order Lyapunov direct method, in this paper, the Mittag-Leffler stability for fractional-order Lorenz and fractional-order Lorenz-family system is investigated, respectively. We propose the definition of the Mittag-Leffler stability; some sufficient conditions for the Mittag-Leffler stability are obtained by selecting properly the parameters and the initial values of system. Finally, numerical simulations are performed to verify the theoretical analysis.