ON THE ROLE OF THE ENTROPY OPERATOR WHEN ESTIMATING AND ANALYSIS OF THE INDICATORS OF LONGNESS
OF COMPLEX TECHNICAL DYNAMIC SYSTEMS 

Ostreykovsky Vladislav Alekseevich, doctor of technical sciences, professor, sub-department of informatics and computer science, Surgut State University (628412, 1 Lenin avenue, Surgut, Russia), E-mail: ostreykovsky_va@surgu.ru
Shevchenko Elena Nikolaevna, candidate of physical and mathematical sciences, associate professor, sub-department of informatics and computer science, Surgut State University (628412, 1 Lenin avenue, Surgut, Russia), Е-mail: elenan_27@mail.ru 

517.98: 519.2: 621.039 

10.21685/2307-4205-2019-3-1 

Background. In connection with modern views, the evaluation of time asymmetry on equipment durability indicators of structurally and functionally complex technical systems (SFCS) are related to the primitive fundamental concept of science, within which the solution of the problem being raised is extremely important. Therefore, the purpose of the proposed article is to analyze the influence of the role of the entropy operator on the durability indices of the SFCS.
Materials and methods. Since traditional deterministic and probabilistic mathematical methods based on theories of strength and mathematical statistics do not take into account the effect of time asymmetry in the “past-present-future” modes, this article uses the apparatus of the theory of modern functional analysis operators.
Results and conclusions. On the basis of the second law of thermodynamics, it is recommended to use a mathematical apparatus to account for the connection of the time asymmetry in models for estimating indicators of the durability of SFSS equipment. The efficiency of using Lyapunov functions when applying the entropy operator M in problems of assessing resource characteristics and state at various stages of the life cycle of products of complex technical complexes is shown. In general, a method has been developed for accounting for the entropy operator and Lyapunov functions in problems of estimating the durability of the SFCS equipment. 

entropy operator, Lyapunov functions, irreversibility, time asymmetry