Synchronization of Neural Networks Involving Distributed-Delay Coupling: A Distributed-Delay Differential Inequalities Approach

Zhang, Xiaoyu; Li, Chuandong; Li, Hongfei; Xu, Jing

doi:10.1109/tnnls.2022.3224393

Cited by 3 publications

(3 citation statements)

References 38 publications

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“…These NNs are characterized by the presence of interconnections between the neurons in the networks, which allows for the exchange of information between the neurons and they can accomplish the desired behaviors, such as synchronization or coordination. [17][18][19][20][21][22][23][24][25][26][27][28] Wan et al 17 discussed the synchronization problem of delayed multistable coupled NNs with directed topology. The exponential synchronization of coupled NNs with time delays is discussed based on a event-dependent intermittent pinning controller.…”

Section: Introductionmentioning

confidence: 99%

“…Hence, delayed coupled NNs have gained considerable attention. These NNs are characterized by the presence of interconnections between the neurons in the networks, which allows for the exchange of information between the neurons and they can accomplish the desired behaviors, such as synchronization or coordination 17–28 . Wan et al 17 discussed the synchronization problem of delayed multistable coupled NNs with directed topology.…”

Section: Introductionmentioning

confidence: 99%

“…The exponential synchronization of coupled NNs with time delays is discussed based on a event‐dependent intermittent pinning controller 20 . Zhang et al 24 addressed the synchronization problem of coupled NNs with mixed couplings. For coupled NNs with multistate couplings and multiderivative couplings, the

{H}_{\infty }

synchronization and finite‐time synchronization problems was discussed in Reference 26.…”

Section: Introductionmentioning

confidence: 99%

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Fixed‐time synchronization and energy cost estimation of delayed coupled neural networks

Xu,

Zhu,

Luo

et al. 2024

Intl J Robust & Nonlinear

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This article concentrates on the fixed‐time synchronization (FTS) and energy cost (EC) problems of delayed coupled neural networks (NNs). A switching controller is proposed and some sufficient conditions are advanced to ensure FTS of delayed coupled NNs based on the comparison theorem. Following that, the required EC is estimated during the control process. The main results of FTS and EC for considered NNs are obtained based on the Lyapunov functions in the sense of vector 1‐norm, 2‐norm, and ‐norm, respectively. Under the same controller parameters, this article shows that the minimum estimation of settling time and EC are sometimes not in one norm sense. Finally, numerical examples are given to show the effectiveness of theoretical results.

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