Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks

Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks
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非扩散耦合时变复杂动态网络的延迟相关同步

DOI:
10.1016/j.amc.2014.12.034
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发表时间:
2015-05
影响因子:
4
通讯作者:
Xuesong Chen
Xuesong Chen
中科院分区:
数学2区
文献类型:
--
作者:
Lili Zhang(博士);Yinhe Wang;Yuanyuan Huang;Xuesong Chen

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研究了非扩散耦合时变复杂动力网络的时滞相关同步问题。网络模型中的外耦合构型矩阵可以是非扩散的、时变的、不确定的、不对称的和不可约的。文中还考虑了不同节点的不同时变耦合延迟。此外,节点可能具有不同的状态维度。此外,仅利用外耦合系数的公共界(CBOCC)来设计同步控制器。在CBOCC已知的情况下,我们的时延相关同步方案可以保证网络达到指数同步。在CBOCC不确定的情况下,提出了只需要一个自适应律的自适应同步方案,保证了网络实现渐近同步。给出了仿真算例,验证了理论结果的有效性和可行性。
This paper investigates the delay-dependent synchronization schemes for the non-diffusively coupled time-varying complex dynamical networks. The outer coupling configuration matrix in our network model may be non-diffusive, time-varying, uncertain, asymmetric and irreducible. Different time-varying coupling delays for different nodes are also put into consideration in this paper. Besides, the nodes may have different state dimensions. Furthermore, only the common bound of the outer coupling coefficients (CBOCC) is used to design the synchronization controllers. If the CBOCC is known, our delay-dependent synchronization scheme can guarantee the network achieving exponential synchronization. And when the CBOCC is uncertain, the adaptive synchronization scheme, where only one adaptive law is needed, is proposed to guarantee the network realizing asymptotic synchronization. Simulation examples are provided to verify the effectiveness and feasibility of our theoretical results.
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发表时间: 2012-03
影响因子: 6.8
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