The stochastic fixed-time synchronization of delays neural networks driven by Levy noise

This paper focuses on the fixed-time synchronization of stochastic cellular neural networks (SCNNs) via mixed delays. The stochastic disturbances we considered in SCNNs include not only white noise but also Levy noise firstly. By utilizing inequality and Lyapunov theory , new criteria ensuring fixed-time synchronization of SCNNs driven by Levy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Levy noise has been discussed by using a new theorem by designing appropriate control strategies, and adequate conditions are attained to realize the fixed-time synchronization of SCNNs. In the end, a numerical example is provided to illustrate the validity of the results we proved.