Pinning Synchronization of Stochastic Quaternion-Valued Coupled Neural Networks with Time Delay

The synchronization problem of a type of stochastic quaternion-valued coupled neural networks (QVCNNs) with time delay is discussed in this research. Coupled neural networks take into account stochastic disturbance, quaternions, and time delay, which increases the complexity of the model under discussion. Additionally, the pinning control method is used to control a single network node to enable mean square exponential synchronization of the system. On the basis of the Lyapunov function approach and stochastic equation theory, as well as the linear matrix inequality (LMI) technique, the corresponding synchronization criterion is derived. To support the theoretical findings, a numerical example is offered at the end.