Abstract

In this paper, we do not separate the complex-valued neural networks into two real-valued systems, the quasi-projective synchronization and complete synchronization of fractional-order complex-valued neural networks with time delays are investigated. First, the generalized discrete fractional Halanay inequality with bounded time delays is established. Further, based on the generalized discrete fractional Halanay inequality and Lyapunov functional method, several novel quasi-projective synchronization and complete synchronization conditions of fractional-order complex-valued neural networks with time delays are derived. Finally, several examples are presented to illustrated the results.

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