Unified Impulsive Effects-based Synchronization on Delayed Lur’e Dynamical Networks: Target-free Strategy

The global and exponential synchronization of delayed Lur’e dynamical networks with asymmetrical coupling is investigated in this article. A practical impulsive control strategy is put forward so as to synchronize all Lur’e systems in the networks. Instead of setting a target system, abundant conditions are derived in order to ensure the synchronization by applying the idea of average impulsive interval, the Perron-Frobenius theorem, the approach of Halanay inequality and the target-free strategy. The positive and negative impulsive effects are examined concurrently because of the fact that impulses might be not only helpful but harmful to the final performance of networks. Correspondingly, convergence rates are exactly computed by considering the unified function of different values on impulsive effects. The posed control strategy is verified by numerical simulations.