Successive lag synchronization of heterogeneous distributed-order coupled neural networks with unbounded delayed coupling

Dongsheng Yang, Yongguang Yu, Hu Wang, Guojian Ren and Xiaoli Zhang

Chaos, Solitons & Fractals, 2024, vol. 178, issue C

Abstract: The problem of successive lag synchronization (SLS) for heterogeneous distributed-order coupled neural networks (HDOCNNs) with unbounded delayed coupling is investigated in this paper. Firstly, a model for HDOCNNs under the framework of distributed order Caputo derivative is proposed which is the generalization of integer order and fractional order cases. Secondly, a new Razumikhin-type stability theorem for distributed order systems is proposed. On this basis, the well-known Halanay type inequality is generalized to analyze the convergence of solutions for a class of distributed order dynamical systems. Thirdly, the SLS criteria for HDOCNNs with delayed coupling by designing a novel adaptive controller and a valid feedback controller are presented herein, respectively. Finally, a numerical example is presented to illustrate the reliability of the proposed scheme.

Keywords: Distributed order fractional calculus; Coupled neural networks; Successive lag synchronization; Heterogeneous (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012390

DOI: 10.1016/j.chaos.2023.114337

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