<p>In this study, we address quasi- synchronization in nonlinear coupled neural networks characterized by multi-weighted connections, structural heterogeneity, parameter uncertainties, and mixed time delays. The studied system simultaneously contains time-varying delays within nodes and time-varying delay effects on multiple coupled channels. An impulsive pinning control strategy is adopted, which integrates the advantages of pinning control and impulsive control, and the control of this paper adopts the impulsive pinning control rate to select the control node at each impulsive instant. Most of the existing literature ignores the problem of neural network heterogeneity, and the important breakthrough of this paper is to overcome this shortcoming. In order to handle the heterogeneity of neural networks and prove the main results, a new class of impulsive delay inequalities has been generalized and improved.</p>

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Quasi-synchronization problem of heterogeneous neural networks with parameter uncertainties and multiple delays via impulsive pinning control

  • Qing Wang,
  • Xin Zhang,
  • Yingxin Guo,
  • Chuan Zhang

摘要

In this study, we address quasi- synchronization in nonlinear coupled neural networks characterized by multi-weighted connections, structural heterogeneity, parameter uncertainties, and mixed time delays. The studied system simultaneously contains time-varying delays within nodes and time-varying delay effects on multiple coupled channels. An impulsive pinning control strategy is adopted, which integrates the advantages of pinning control and impulsive control, and the control of this paper adopts the impulsive pinning control rate to select the control node at each impulsive instant. Most of the existing literature ignores the problem of neural network heterogeneity, and the important breakthrough of this paper is to overcome this shortcoming. In order to handle the heterogeneity of neural networks and prove the main results, a new class of impulsive delay inequalities has been generalized and improved.