In this paper, a novel type of fractional complex networks with unbounded coupling delays (FCNUCD) is investigated. The adaptive feedback control strategy is proposed to achieve the leader-following synchronization of the FCNUCD. The leaderless synchronization of the FCNUCD is also achieved by employing the edge-based adaptive control strategy. Furthermore, a new mixed adjustment rule is proposed in the design of the adaptive control strategy. Two numerical examples are provided to illustrate the effectiveness of the adaptive control strategies.

中文翻译：

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通过自适应控制实现分数阶复数网络与无限耦合延迟的同步


在本文中，研究了一种具有无限耦合延迟 （FCNUCD） 的新型分数阶复杂网络。提出了自适应反馈控制策略，以实现 FCNUCD 的领导跟随同步。FCNUCD 的无领导同步也是通过采用基于边缘的自适应控制策略来实现的。此外，在自适应控制策略的设计中提出了一种新的混合调整规则。提供了两个数值示例来说明自适应控制策略的有效性。