Design of high-capacity auto-associative memories based on the analysis of complex-valued neural networks

This paper presents a new design method for synthesizing associative memories based on the complex-valued neural networks with asynchronous and unbounded delays. Some sufficient criteria in terms of several inequalities, which can bring robustness to parameters of the complex-valued networks, are obtained to assure the existence, uniqueness and global exponential stability of equilibrium points for the addressed networks with mixed delays. The design procedure enables auto-associative memories to be synthesized with high storage capacity. The desired store patterns are retrieved by feeding proper probes through external inputs rather than initial conditions, which can avoid spurious memory patterns. The obtained results are much more general than the existed works. Finally, one numerical example is provided to illustrate the effectiveness of the obtained results.