CONCEPTUAL FOUNDATIONS FOR THE JUSTIFICATION OF THE USE OF MICROSCOPIC ENTROPY EVOLUTION OPERATORS, TRANSFORMATIONS AND INTERNAL TIME IN THE THEORY OF DURABILITY STRUCTURALLY AND FUNCTIONALLY COMPLEX SYSTEMS 

Vladislav A. Ostreykovsky, Doctor of technical sciences, professor, professor of sub-department of informatics and computer science, Surgut State University (1 Lenin street, Surgut, Russia), E-mail: ova@ivi.surgu.ru
Svetlana A. Lysenkova, Candidate of physical and mathematical sciences, associate professor of sub-department of informatics and computer science, Surgut State University (1 Lenin street, Surgut, Russia), E-mail: lsa1108@mail.ru
Valeriy G. Nedorezov, Doctor of technical sciences, associate professor, professor of sub-department of welding, founding manufacture and materials science, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: nedval@yandex.ru
Nikolay K. Yurkov, Doctor of technical sciences, professor, the honoured worker of science of the Russian Federation, head of sub-department of radio equipment design and production, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: yurkov_NK@mail.ru 

517.98:519.2:621.039 

10.21685/2307-4205-2021-1-2 

Background. To ensure the reliability, safety, efficiency and quality of structurally and functionally complex and critical technical systems with long periods of active existence, it becomes necessary to use modern approaches to assessing the resource and service life, taking into account the asymmetry of time in the "past-presentfuture" modes.
Materials and methods. In order to implement this idea, scientific and methodological conceptual justifications for the application of new methods of functional analysis to assess the durability indicators of structurally and functionally complex systems, often manufactured in small batches, and often in general in single copies such as systems for protecting the Earth from space threats, have been analyzed and performed.
Results and conclusions. Conclusions are drawn about the possibility of applying the concepts of the microscopic formulation of the second law of thermodynamics, internal time as an operator to describe the functioning of unstable and irreversible systems, and internally random and internally irreversible systems in the problems of assessing the durability of structurally and functionally complex systems using modern functional analysis and taking into account the time asymmetry factor. 

operators of microscopic entropy, transformation and internal time, "age" of the system, indicators of durability