Global existence theory and chaos control of fractional differential equations
Global existence theory and chaos control of fractional differential equations
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分数阶微分方程的整体存在论与混沌控制
DOI：
10.1016/j.jmaa.2006.10.040
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发表时间：
2007-08-01
影响因子：
1.3
通讯作者：
Lin, Wei
中科院分区：
文献类型：
--
作者：
Lin, Wei
本文讨论了一类分数阶常微分方程解的初值问题，将已有的结果推广到更广泛的一类分数阶常微分方程解。文中建立的理论结果也保证了分数阶微分方程混沌控制的有效性。特别地，对混沌分数阶微分方程的反馈控制进行了理论研究，并以分数阶Lorenz系统为例对分析结果进行了验证。(C)2006 Elsevier Inc.保留所有权利。
In this paper, the initial value problem for a class of fractional differential equations is discussed, which generalizes the existent result to a wide class of fractional differential equations. Also the theoretical result established in the paper ensures the validity of chaos control of fractional differential equations. In particular, feed-back control of chaotic fractional differential equation is theoretically investigated and the fractional Lorenz system as a numerical example is further provided to verify the analytical result. (C) 2006 Elsevier Inc. All rights reserved.