DEVELOPMENT OF METHODS OF SURVIVABILITY THEORY IN PROBLEMS OF DURABILITY OF STRUCTURALLY AND FUNCTIONALLY COMPLEX DYNAMIC SYSTEMS WITH LONG PERIODS OF ACTIVE EXISTENCE 

Vladislav A. Ostreykovskiy, Doctor of technical sciences, professor, professor of the sub-department of information theory and computer technology, Surgut State University (1 Lenin avenue, Surgut, Russia), E-mail: academicostr@yandex.ru
Andrey V. Sorochkin, Postgraduate student, Surgut State University (1 Lenin avenue, Surgut, Russia), E-mail: sorochkin_av@surgu.ru
Nikolay K. Yurkov, Doctor of technical sciences, professor, the honoured worker of science of the Russian Federation, head of the sub-department of radio equipment design and production, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: yurkov_NK@mail.ru 

Background. The last decades of the XX century and the new decades of the XXI century are characterized, on the one hand, by a further increase in the constructive complexity and at the same time the requirements for ensuring high quality of complex critical systems. This is especially true for systems with long periods of active existence and is often manufactured in small batches or in general in a single copy. Materials and methods. To solve the problem of ensuring the reliability and reliability of the above-mentioned systems, it is necessary to use modern mathematical and constructive methods and approaches to assessing the indicators of their durability and survivability. This article is aimed at solving this problem. Results and conclusions. New results of the application of modern functional analysis have been obtained in addition to the existing methods for assessing resource and service life indicators, which are usually used as the basis of the theory of long-term strength. The possibility of describing the functioning of unstable and irreversible processes in complex systems in the modes of "past-present–future" time, i.e. taking into account the factor of asymmetry of internal time ("age of the system"), is shown. 

initial resource, residual resource, damage, origin of defects, long-eternity, survivability, internal time 

Ostreykovskiy V.A., Sorochkin A.V., Yurkov N.K. Development of methods of survivability theory in problems of durability of structurally and functionally complex dynamic systems with long periods of active existence. Nadezhnost' i kachestvo slozhnykh sistem = Reliability and quality of complex systems. 2023;(3):5–11. (In Russ.). doi: 10.21685/2307-4205-2023-3-1