Description: The problem issues of adaptive management of structural dynamics of complex multi-structural military systems, oriented to the development of scientific and methodological foundations (methods and means), and the substantiation and choice of managerial decisions taking into account the dynamics of changes in the operational-strategic (operational-tactical) situation in the course of management are considered in the article. fighting in conditions of active opposition from the enemy. The main attention is paid to highlighting at the content level the approach to solving the problem of adaptive transforma-tion of accounting systems of researched and adaptively-stable high-tech management, as well as the development of an appro-priate scientific and methodical apparatus that allows to substantiate managerial decisions from unified system management positions that are adequate to the conditions for their implementation. The wording is presented and an analysis of research tasks is carried out, it is assumed that the methodological approach to the formalization of the problem will be used based on the interpretation of the graphs. It is recommended to use multi-model description of various aspects of analysis and structural-functional synthesis of accounting systems considered and management of their structural dynamics. The central role in ensuring the required quality of management is given to integrated systems of support for the adoption of managerial decisions, the requirements for these systems are formulated. As a basis on which the new approach to the management of complex military systems and the corresponding scientific-methodical apparatus is supposed to be adopted, it is necessary to adopt the methodology of the modern theory of management of complex objects (processes), which is supplemented by elements of the functional-structural approach, allowing for dynamic unity consider the functions and structures of objects in determining the role of the function in relation to the structure.
Keywords: method, scientific methodical apparatus, structural dynamics, many structural state, management concept, management adaptability, multi-model complex, uncertainty and risk.
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