Synchronization criteria for neutral-type quaternion-valued neural networks with mixed delays

In this paper, the problem of synchronization for neutral-type quaternion-valued neural networks (NQVNNs) with mixed delays is investigated. By making full use of the information of the time-delay state, a linear feedback controller and a novel nonlinear feedback controller are constructed to research the global synchronization and finite-time synchronization of the system respectively. In the case where the activation function of the network is not required to be separated into two complex parts or four real parts, the sufficient conditions of synchronization of NQVNNs are acquired based on establishing appropriate Lyapunov-Krasovskii functional, applying the synchronization method of drive-response and some inequality techniques. The obtained delay-dependent synchronization results are less conservative than some existing ones via numerical example comparisons. Two numerical examples with simulations are provided to verify the effectiveness of the obtained results.

Automated summary

This paper investigates the synchronization problem of neutral-type quaternion-valued neural networks with mixed delays. Linear and nonlinear feedback controllers are proposed to study global and finite-time synchronization, respectively. Sufficient conditions for synchronization are obtained based on appropriate functional and synchronization techniques, with less conservative results than existing ones shown through numerical examples.