pth moment synchronization of stochastic impulsive neural networks with time-varying coefficients and unbounded delays

This article is devoted to the investigation of the pth moment synchronization problem for stochastic impulsive neural networks (SINNs) with time-varying coefficients and unbounded delays. First of all, one novel impulse generation rule is proposed, which generates the more general impulsive sequences. In order to cope with time-varying coefficients, unbounded delays and impulsive disturbances, some impulsive differential inequalities are developed by utilizing the comparison principle. With the help of the established impulsive inequalities, the synchronization of SINNs is analyzed in detail, and both pth moment exponential synchronization and asymptotical synchronization are realized by designing appropriate feedback controllers. Finally, several simulation examples are provided to illustrate the valid-ity of the theoretical results.(c) 2022 Elsevier B.V. All rights reserved.

Automated summary

This article investigates the pth moment synchronization problem for stochastic impulsive neural networks (SINNs) with time-varying coefficients and unbounded delays. A new impulse generation rule and impulsive differential inequalities are proposed to handle the complexities of the network. The synchronization of SINNs is analyzed in detail, and both pth moment exponential synchronization and asymptotical synchronization are achieved through appropriate feedback controllers.