Impulsive Synchronization Control of Delayed Inertial BAM Neural Networks with Reaction-Diffusion Terms

In the paper, a seconded-order delay-differential equation modelling an inertial bidirectional associative memory neural network with reaction-diffusion terms is studied. Using suitable variable substitution, the considered systems can be transformed into first-order differential equations. The state global exponential synchronization of two identical such system is derived by constructing a suitable Lyapunov functional, utilizing impulsive control and some inequality techniques. A global exponential synchronization criterion is presented in terms of algebraic inequalities. A numerical example is provided to demonstrate the effectiveness of the proposed results.