The present work is devoted to a problem of Synthesis of the algorithms for adaptive control by nonlinear dynamic objects with the incomplete mathematical description. The method of synthesis adaptive neural networks is considered on the basis of application of some positions of a method of analytical designing. The law of adaptation is defined on a condition of maintenance of stability of the closed system with the help of the second method of Lyapunov. The resulting control systems can operate in uncertain conditions caused by external and internal disturbances. The designed parameter adaptation law of the controllers admits simple implementation, thereby facilitating the on-line adaptation process.

The paper is devoted to the investigation of mathematical model of intelligent decision support based on a hierarchical logical construction. Hierarchical logical constructions and forecasting variables are described. The goal of hierarchical logical construction analysis is to get the most accurate forecast possible. Models and algorithms of an intelligent decision support system using a hierarchical logical construction are described.

Proposed a method for solving the problem of identifying hidden relationships in hard-to-structure data that have an implicit character is considered using information mining. Proposed decision trees, the effectiveness of which is illustrated by a specific example. The use of OLAP analysis systems on data presented using in the form of a real or virtual hypercube’s information is an effective tool for the effectiveness of the management for medical monitoring