Finite-Time Synchronization and H∞ Synchronization for Coupled Neural Networks With Multistate or Multiderivative Couplings

Jin-Liang Wang, Han-Yu Wu, Tingwen Huang, Shun‐Yan Ren · IEEE Transactions on Neural Networks and Learning Systems · 2022

This article investigates the finite-time synchronization (FTS) and$H_{\infty }$synchronization for two types of coupled neural networks (CNNs), that is, the cases with multistate couplings and with multiderivative couplings. By designing appropriate state feedback controllers and parameter adjustment strategies, some FTS and finite-time$H_{\infty }$synchronization criteria for CNNs with multistate couplings are derived. In addition, we further consider the FTS and finite-time$H_{\infty }$synchronization problems for CNNs with multiderivative couplings by utilizing state feedback control approach and selecting suitable parameter adjustment schemes. Finally, two simulation examples are given to demonstrate the effectiveness of the proposed criteria.

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