Exponential synchronization of reaction-diffusion neural networks via switched event-triggered control

A switched event-triggered strategy for the synchronization control of reaction-diffusion neural networks (RDNNs) is developed, and the trigger condition is constructed by utilizing spatial information in the domain. First, a waiting time with regard to the event-triggered mechanism is implemented to avoid the Zeno phenomenon, under which the synchronization error system is converted to a switching system. Then, using the Lyapunov function, the Poincare's inequality and the free weighting matrix method, a sufficient condition for the exponential synchronization of RDNNs is given. Subsequently, an event-triggered controller is designed by virtue of the linear matrix inequalities. This method is also extended to deal with the synchronization of uncertain RDNNs. Finally, simulation examples illustrate our results. •The switching method is adopted to deal with the event-triggered synchronization of RDNNs for the first time.•A novel integral-based switching event-triggered controller is designed.•The sufficient condition for synchronization of RDNNs is given based on the switching Lyapunov function.