Adaptive synchronization of drive-response fractional-order complex dynamical networks with uncertain parameters

Adaptive synchronization of drive-response fractional-order complex dynamical networks with uncertain parameters
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具有不确定参数的驱动响应分数阶复杂动力网络的自适应同步

DOI:
10.1016/j.cnsns.2013.09.021
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发表时间:
2014-05
影响因子:
3.9
通讯作者:
Xiao-Jun Liu
Xiao-Jun Liu
中科院分区:
数学2区
文献类型:
--
作者:
Li-Xin Yang;Jun Jiang;Xiao-Jun Liu

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研究了具有不确定参数的驱动-响应分数阶动态网络的自适应同步问题。利用分数阶微分系统的稳定性理论和自适应控制技术,提出了一种新的自适应同步控制器,该控制器具有更一般、更简单的解析表达式,不包含复杂网络的参数和有效的参数自适应律。进一步,解除了复杂网络节点动力学的强保守一致Lipschitz条件。为了证明所提出的方法的有效性,同步系统的混沌和超混沌节点动力学的例子。
This paper investigates the adaptive synchronization in the drive-response fractional-order dynamical networks with uncertain parameters. By means of both the stability theory of fractional-order differential system and the adaptive control technique, a novel adaptive synchronization controller is developed with a more general and simpler analytical expression, which does not contain the parameters of the complex network, and effective adaptive laws of parameters. Furthermore, the very strong and conservative uniformly Lipschitz condition on the node dynamics of complex network is released. To demonstrate the validity of the proposed method, the examples for the synchronization of systems with the chaotic and hyper-chaotic node dynamics are presented.
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