The stochastic fixed-time synchronization of delays neural networks driven by Lévy noise. (English) Zbl 1542.93403
Summary: 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 Lévy noise firstly. By utilizing inequality and Lyapunov theory, new criteria ensuring fixed-time synchronization of SCNNs driven by Lévy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Lévy 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.
MSC:
| 93E15 | Stochastic stability in control theory |
| 93D40 | Finite-time stability |
| 93C43 | Delay control/observation systems |
| 93B70 | Networked control |
| 60G51 | Processes with independent increments; Lévy processes |
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