Signal processing of nonlinear dynamic systems

The paper considers Hermite polynomials that act as a self-similar basis for the decomposition of functions in phase space. It is shown that the equations of behavior of nonlinear dynamical systems are simplified. It is also noted that the wavelet decomposition over Hermite polynomials reduces the number of approximation coefficients and improves the quality of approximation.

Value Analysis of the Machine-Building Enterprise Repair Facilities Activities

This article is devoted to the problems of the organizational structure optimization by the method of Value Analysis (VA). The analysis of the control system is of particular relevance in modern conditions. The purpose of this article is to adapt the Value Analysis to the management structure with the possibility of increasing efficiency. VA is a universal and highly effective method for optimizing parameters and other design, technological, organizational, economic characteristics of products, works and services. The hypothesis of the possibility of applying the Value Analysis to the organization of the enterprise subdivision work is considered. The article examines the VA tools using the example of an enterprise's repair service. An organizational structural-element model of the object is being built. Decomposition of functions is carried out. According to the level criterion, the functions are classified into main and auxiliary ones. The significance and functional costs are determined. A functional-cost diagram is constructed, which allows highlighting the functions with the greatest deviations that need to be improved. The VA stages are accompanied by graphical illustrations and tables which allow us to clearly demonstrate the logic of the method application to the work of the enterprise division. As a result, the optimal concept of the organization of the machine-building enterprise structural unit is formed.

Methods to Choose IT Project Executors

Companies working in the field of IT technologies, in most cases, implement a project management approach. A significant problem of the project management paradigm is the creation of the project team. The main criterion that determines the possibility of choosing a specialist for the project team is the level of his compliance with the required set of competencies. The task can be solved using the system analysis. Hierarchical decomposition of functions and criteria allows us to form a relative assessment of applicants to assign for the project. The article examined an example of decomposition of the system of functions, criteria and the results of assessing relative importance of functions for the implementation of a project in the support department of accounting programs of the company "En + Digital". In the process of project implementation, it becomes necessary to address the issue of operational distribution and work redistribution adjusting appointed executors. The article discusses the methods of redistributing functions using internal resource and possibilities of hiring third-party performers. The research determined the necessity to use informational assessment of team members work load while managing the project.

ODD–EVEN DECOMPOSITION OF FUNCTIONS

The main result of this note implies that any function from the product of several vector spaces to a vector space can be uniquely decomposed into the sum of mutually orthogonal functions that are odd in some of the arguments and even in the other arguments. Probabilistic notions and facts are employed to simplify statements and proofs.