Abstract
Mathematical description of control processes in complex systems is discussed. Specific features of such processes are considered, and analysis and synthesis techniques for such systems based on differential geometry are proposed. A mathematical model of control processes in a complex system is presented as a gauge transformation in a fiber bundle with a base parameterized by the time coordinate. External control is formed as a gauge field for a system in fiber spaces.
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Original Russian Text © A.A. Malafeeva, 2010, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2010, No. 4, pp. 18–26.
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Malafeeva, A.A. Geometrical model of external control in complex systems. J. Comput. Syst. Sci. Int. 49, 529–536 (2010). https://doi.org/10.1134/S1064230710040039
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DOI: https://doi.org/10.1134/S1064230710040039