Event‐triggered synchronization and H∞$$ {mathcal{H}}_{infty } $$ synchronization of coupled delayed reaction‐diffusion memristive neural networks

摘要

This paper settles event‐triggered synchronization and H∞$$ {mathcal{H}}_{infty } $$ synchronization matters for two types of coupled delayed reaction‐diffusion memristive neural networks (CDRDMNNs). First of all, several synchronization and H∞$$ {mathcal{H}}_{infty } $$ synchronization conditions are acquired for CDRDMNNs with state coupling in virtue of exploiting Lyapunov stability theory in combination with appropriate controllers of the triggering event. Then, event‐triggered synchronization and H∞$$ {mathcal{H}}_{infty } $$ synchronization for CDRDMNNs with spatial diffusion coupling are studied as well. Finally, the correctness of these deduced synchronization and H∞$$ {mathcal{H}}_{infty } $$ synchronization results is verified by two given numerical examples.