两个具有耦合时滞的分数阶复杂网络的延迟投影同步与参数辨识
作者:
作者单位:

1. 空军工程大学 航空工程学院,西安 710038;2. 空军工程大学 基础部,西安 710051

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通讯作者:

E-mail: zhanggj@126.com.

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TP273

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Lag projective synchronization and parameter identification of two fractional-order complex networks with coupling delay
Author:
Affiliation:

1. Aeronautics Engineering College,Air Force Engineering University,Xián 710038,China;2. Department of Basic Sciences,Air Force Engineering University,Xián 710051,China

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    摘要:

    研究两个具有耦合时滞的分数阶复杂网络的延迟投影同步与参数辨识的问题.首先,建立具有耦合时滞以及模型参数不确定分数阶复杂网络模型,并给出驱动网络与响应网络的延迟投影同步误差模型;其次,设计有效的控制器以及参数自适应律以实现两个网络之间的延迟投影同步与参数辨识,给出了实现延迟投影同步与参数辨识的充分条件,对该充分条件给出了严格的数学证明,并通过一个数值仿真实例验证了所提出方法的有效性和可行性;然后,对3种特例进行讨论,并得到实现同步的充分条件,这3种情况分别为具有耦合时滞的延迟同步、具有耦合时滞的投影同步和没有耦合时滞的延迟投影同步;最后,对模型中耦合强度、时滞因素以及投影比例对同步的影响进行了讨论.

    Abstract:

    In this paper, the problem of lag projection synchronization and parameter identification for two fractional-order complex networks with coupling delay is investigated. Firstly, the fractional-order complex network model with coupling delay and uncertain parameters is established, and the lag projection synchronization error model of the driving network and the response network is given. Secondly, the effective controller and the parameter adaptive law are designed to realize lag projection synchronization and parameter identification between the two networks. A sufficient condition for realizing lag projection synchronization and parameter identification is given, and a strict mathematical proof is given for this sufficient condition. The validity and feasibility of the proposed method are verified by a numerical simulation example. Then, three special cases are discussed and sufficient conditions are obtained to realize synchronization, which are lag synchronization with coupling time delay, projection synchronization with couping time delay and lag projection synchronization without coupling time delay. Finally, the effects of coupling strength, time-delay, and projection ratio are discussed.

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杨心,张广军,李学仁,等.两个具有耦合时滞的分数阶复杂网络的延迟投影同步与参数辨识[J].控制与决策,2022,37(6):1479-1488

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  • 在线发布日期: 2022-04-22
  • 出版日期: 2022-06-20