pth moment stochastic exponential anti-synchronization of delayed complex-valued neural networks

摘要

This paper focuses on the pth moment stochastic exponential anti-synchronization problem for delayed complex-valued neural networks (CVNNs). By combining Ito's differential formula, Halanay inequality and some inequalities techniques, via the designed delay-dependent controller, two different criteria are presented for guaranteeing pth moment anti-synchronization exponentially of the addressed systems by constructing appropriate Lyapunov functionals. Different from the previous works, the anti-synchronization control problem is addressed for CVNNs with the simultaneous existence of stochastic disturbances and time delays. Similar results can also be obtained for delayed CVNNs without stochastic disturbances or real-valued ones. The in-depth analysis results improve and extend some in the existing literature. In the end, two simulation examples are provided to show the effectiveness of the obtained results.