Abstract
In the context of the qualitative theory of realization of infinite-dimensional dynamic systems, the authors demonstrate some results related to investigation of the geometrical properties of families of continuous controlled dynamic processes (“input–output” mappings) in the problem of solvability of this differential realization in a class of linear ordinary non-stationary differential equations in a separable Hilbert space.
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*The study was financially supported by the Council on Grants of the President of the Russian Federation for the State Support of Leading Scientific Schools (NSh-8081.2016.9) and grant of the Russian Foundation for Basic Research (16-07-00201).
Translated from Kibernetika i Sistemnyi Analiz, No. 4, July–August, 2017, pp. 71–83.
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Rusanov, V.A., Daneev, A.V. & Linke, Y.E. To the Geometrical Theory of Differential Realization of Dynamic Processes in a Hilbert Space* . Cybern Syst Anal 53, 554–564 (2017). https://doi.org/10.1007/s10559-017-9957-z
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DOI: https://doi.org/10.1007/s10559-017-9957-z