S.N. Vasilyev1, M.P. Farkhadov2, A.V. Rozhnov3

1–3 V.A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences (Moscow, Russia)
1 vassilyev_sn@mail.ru, 2 mais@ipu.ru, 3 rozhnov@ipu.ru

The transition from primary descriptive models of human interaction with complex technology to their stricter formalizations with clarification of the functional and structural content of adaptation of cyberphysical contours requires paying attention in modern conditions to a comprehensive revision of certain components of the operator's role. Traditional approaches, which are inherently focused on ergonomic comfort or conservative statistical estimates of structural reliability, do not always adequately take into account the dynamic component (variability of a person's cognitive resource) in real time.; Current standards, as a rule, focus on the hardware predictability of complex technical systems, but are not aimed at evidence-based invariance by providing heterogeneous adaptive systems and networks of a secure set with stochastic degradation or untimely replenishment of cognitive resources. In the Russian tradition of the engineering school, the integrity of the "man-machine–environment" contour as a whole is primarily established on a qualitative basis, however, the formal foundations of the behavioral dynamics of operators within the formed functional safety circuits are still of direct interest in their development, including within the framework of the complex subject of the presented thematic issue. In the general cycle of work, this issue of the scientific journal highlights a set of articles by an expanded team of authors exploring the multidimensional components of the complex problems of modeling and managing dynamic heterogeneous adaptive systems and networks for various purposes.

To substantiate the ways of developing elements of ergatic systems theory in terms of a functional and structural approach through the search for new improvement opportunities and the formalization of indirect operator interaction with such heterogeneous complex systems and networks as an endogenous (structurally inclusive) stochastic relationship with limited and time-varying resources, for­ming a conditional methodological framework that unites the potential of interconnected application in the practice of multidimensio­nal components of scientific and methodological apparatus, including intelligent management, predictive modeling, graph theory, queuing theory, physico-informed training of artificial neural networks, as well as other components in the implementation of modern achievements of science and technology regarding the comprehensive provision of formal security guarantees in such a single control loop for dynamic heterogeneous adaptive systems and networks.

Within the framework of a cycle of general theoretical and applied works on the thematic issue, they are justified, differentiated and embodied in the interrelation of particular results of determining the ergatic system and the ergatic contour (the latter through a list of necessary and sufficient properties); supporting options are proposed according to the local paths of development of elements of the theory of ergatic systems, based on a four-component vector of the operator's state with a model its evolution and explicit normalization of the components; a composite barrier safety function is constructed that combines a physical safety margin and a cognitive resource, with the condition of positive invariance over joint dynamics; an architectural limit of bounded rationality is postulated in the form of an irreducible lower bound of the quality functional; a map of adaptive autonomy with hysteresis is developed; stability conditions are consistent with a nonlinear formulation through linearization and a region of attraction; The general structure of the thematic issue is described and its consistency with the current regulatory framework and the further improvement of domestic standards, the updated patent portfolio is demonstrated.

The proposed scientific and methodological framework is applicable in the development and justification of national standards profiles, justification of the safety of high-risk systems, and planning hardware and software tests of such complex heterogeneous systems and networks. The results are consistent with the requirements of Regulation (EU) 2024/1689 and the Long-term Program of standardization in the field of robotics for 2025-2029, mainly corresponding to the directions of the passport of the specialty "Computer Science and Information Processes".

Vassiliev S.N., Farkhadov M. P., Rozhnov A.V. Modeling and control of dynamic heterogeneous adaptive systems and networks // Dynamics of complex systems. 2026. V. 20. № 4. P. 5−19. DOI: 10.18127/j19997493-202604-01

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