Event-triggered synchronisation control of fractional-order time-delay neural networks

The event-triggered synchronisation control problem of neural networks is important in information encryption and key exchange. The objective of this problem is to determine an event-triggered controller such that the known neural networks can track the unknown neural networks. Existing results on the problem of designing event-triggered synchronisation controllers for integer-order neural networks have not been extended to fractional-order neural networks. In this paper, we consider the event-triggered synchronisation control for a class of fractional-order time-delay neural networks with an unknown time-varying delay in the state vector. The controller in this paper uses only information about the state vector when an event-triggered condition is held. This contrasts with previous methods of solving the synchronisation control problem where the information of the state vector was assumed to be always continuously available. Therefore, it is significant in saving communication resources while still maintaining the desired robust control performance.