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Pinning synchronization and parameter identification of fractional-order complex-valued dynamical networks with multiple weights
The European Physical Journal B ( IF 1.6 ) Pub Date : 2022-08-06 , DOI: 10.1140/epjb/s10051-022-00382-1
Dawei Ding, Ya Wang, Yongbing Hu, Zongli Yang, Hongwei Zhang, Xu Zhang

Compared with single weight networks, multiple weights networks are more practical and universal. Considering the unknown structure and time-varying factor in the actual system, the pinning synchronization of fractional-order complex-valued networks (FCVNs) with unknown parameters and time-varying coupling strength is studied. In addition, according to the identification and adaptive law, the unknown parameters can be identified, and the value of time-varying coupling strength is obtained. Based on fractional-order calculus theory and Lyapunov stability theory, sufficient conditions for pinning synchronization of FCVNs with time-varying coupling strength are derived. Finally, the effectiveness of the pinning controller strategy for fractional-order complex networks is illustrated by two numerical examples in complex-value space.



中文翻译:

具有多个权重的分数阶复值动态网络的钉扎同步和参数识别

与单权重网络相比,多权重网络更具实用性和通用性。考虑实际系统中未知的结构和时变因素,研究了未知参数和时变耦合强度的分数阶复值网络(FCVN)的钉扎同步。此外,根据识别和自适应律,可以识别未知参数,得到时变耦合强度值。基于分数阶微积分理论和Lyapunov稳定性理论,推导了具有时变耦合强度的FCVNs钉扎同步的充分条件。最后,通过复值空间中的两个数值例子说明了分数阶复杂网络中钉扎控制器策略的有效性。

更新日期:2022-08-06
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