Hybrid Impulsive Control Based Synchronization of Leakage and Multiple Delayed Fractional-Order Neural Networks with Parameter Mismatch

This paper studies synchronization problems for a kind of parameter mismatched fractional-order neural networks with leakage terms and multiple delays by utilizing a novel hybrid impulsive control mechanism. The hybrid controller combines time-triggered and event-triggered, and switching updates can be described by the behavior between positive auxiliary function and preset exponentially decreasing function. The impulsive controlled neural networks can be translated to the impulsive differential fractional-order systems by using fractional-order calculus and Laplace transform method. Some lemmas are derived for fractional-order inequality with time delays, which together with the hybrid controller are employed to establish some sufficient quasi-synchronization criteria. And the event-triggered mechanism is proved to have no Zeno behavior. Some numerical simulations are showed to illustrate the effectiveness of the results.