The Structure of Neural Networks.- Transfer from the Logical Basis of Boolean Elements "AND, OR, NOT" to the Threshold Logical Basis.- Qualitative Characteristics of Neural Network Architectures.- Optimization of Cross Connection Multilayer Neural Network Structure.- Continual Neural Networks.- Optimal Models of Neural Networks.- Investigation of Neural Network Input Signal Characteristics.- Design of Neural Network Optimal Models.- Analysis of the Open-Loop Neural Networks.- Development of Multivariable Function Extremum Search Algorithms.- Adaptive Neural Networks.- Neural Network Adjustment Algorithms.- Adjustment of Continuum Neural Networks.- Selection of Initial Conditions During Neural Network Adjustment - Typical Neural Network Input Signals.- Analysis of Closed-Loop Multilayer Neural Networks.- Synthesis of Multilayer Neural Networks with Flexible Structure.- Informative Feature Selection in Multilayer Neural Networks.- Neural Network Reliability and Diagnostics.- Neural Network Reliability.- Neural Network Diagnostics.- Conclusion.- Methods of Problem Solving in the Neural Network Logical Basis.