| Summary: | Background. The research work is aimed at adapting and applying state-of-the-art cybernetic methods
for analyzing complex dynamic systems in order to improve the management efficiency of regional critical infrastructures
resilience and safety, and enhancing the analytical capabilities of decision support systems used in this area. The
urgency of this problem is due to the lack of a unified methodological framework and best practices for maintaining the
stable resilient operating of critical infrastructures of various levels and types under conditions of uncertainty and risk.
Materials and methods. The fundamentals of current research are the theory of holonomic and invariant automatic systems
and the method of linguo-combinatorial modeling of organizational and technical systems, proposed by Professor
Mikhail B. Ignatyev back in 1963. This theoretical basis provides the modern concept advancement of complex systems
resilience in terms of formalizing and structuring the methodology and objectives of managing this immanent attribute
(capacity) of self-preservation of these systems. Results and conclusions. The issues of applicability of linguo-combinatorial
models for situational management of critical infrastructures and the dynamics of their adaptative characteristics
are examined. A novel linguo-combinatorial model for managing the critical infrastructure resilience, formalized in the
form of an equivalent system of differential equations with arbitrary coefficients, is proposed. The model can be used
by critical infrastructures operators to study the system behavior and develop control actions aimed at maintaining the
system performance characteristics in the range of its adaptative capabilities under various operating conditions and
critical-case scenarios of adverse events via launching stabilization and coordination mechanisms that implement combined
control by deviation and external disturbance.
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