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This article introduces research results by members of the Chair for Applied Mathematics, Tomsk Polytechnic University, who are also members of the scientific school of Development of Physical Foundations of Software for Energetic and Information Representation of Functional Characteristics of an Organism for Medical and Preventive Tasks. In this article development of a universal mathematical apparatus to solve the tasks of monitoring, adaptation and regulation is described. To evaluate severity of change in a state vector, which describes mutual dynamic interactions among state variables of a system, geometric means of the vector and its deviation rate are used. Basic principles of assessment of dynamic susceptibility in systems are given. Coefficients that represent deviation of state variables from equilibrium values are described. Ability of regulatory mechanisms of a system to assure its stable functioning is explained.