A method for obtaining estimates for the scatter errors of endogenous characteristics in models for calculating the parameters of communication lines for elements of modern high-speed computing devices in the form of multilayer printed circuit boards is presented. The described methodology for taking into account the uncertainty of exogenous parameters of models in ratios for determining the cross-sectional area and spacing of conductors, delay parameters in short and long communication lines, allows to obtain a forecast of providing of signal integrity, providing of optimized matching of electric circuit elements, and observing of technological requirements for physical, mechanical and geometrical parameters of multilayer printed circuit boards. This technique is based on the theory of fuzzy sets and consists in using a modified form of the heuristic principle of generalization in the transition to fuzzy-sets arguments in the analytical calculation relationships for a number of the most important characteristics of communication lines. A number of examples of the application of the described technique is presented.

A numerical-analytical technique for analyzing the physical effects of the formation of fields of hydroacoustic waves in the area in front of a flat three-layer hydroacoustic screen and in the space behind the screen at normal incidence of a stationary hydroacoustic wave on it is presented. The engineering model of the screen uses the assumption that its components are made of anisotropic functional-gradient materials with exponential inhomogeneity in thickness, and thin, absolutely flexible, inextensible coatings can be applied to the outer and contact surfaces of the layers. The technique is based on the analytical integration of the equations of wave deformation of the screen components and obtaining complex amplitude characteristics for the reflected and generated hydroacoustic waves behind the screen when solving a system of algebraic equations with a functional matrix, which follows from the boundary conditions for the investigated problem. Parametric descriptions for the characteristics of the investigated physical fields are obtained and examples of numerical analysis of the considered engineering model are presented.

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.

A theoretical numerical-analytical fuzzy-set methodology to take into account the influence of scatter errors in the values of the initial physical, mechanical and geometric parameters on the estimates of the endogenous characteristics of temperature stresses in models of bending and flat temperature deformation of plate-type thin-walled structural elements with elliptical boundaries in industrial and aerospace equipment was developed. The methodology is based on the use of the alpha-level form of the heuristic principle of generalization in the transition to fuzzy-multiple arguments in the analytical representations of deterministic models for the estimated indefinite indicators of temperature bending moments and circumferential thermomechanical stresses at the boundaries of elliptical holes in thin plates. The results of calculations using the developed technique are presented. The proposed method is intended for use in theoretical and applied research on assessing the reliability and strength of thin-walled plate structural elements of aerospace engineering, industrial equipment and building structures under thermomechanical influences for conditions of uncertainty.