Mathematical modeling and process control in industrial automation systems using complex-valued neural networks

The paper considers a multi-valued threshold logic, which is the base of multi-valued neurons, discusses the advantages of complex-valued neural networks. The complex-valued activation function is defined for the multi-valued neuron and the backpropagation learning algorithms for the multi-valued neuron and complex-valued neural networks are considered. Further, a method of applying complex-valued neural networks for modeling processes is proposed.