Using the cascade spitting method, for a linear dynamical system with partial derivatives we construct a control function under the action of which the system is transferred from an arbitrary initial state to an arbitrary final state. For such systems we obtain the full controllability criterion. The control and state functions are found in an analytical form. Bibliography: 10 titles. Illustrations: 2 figures.
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Translated from Problemy Matematicheskogo Analiza 103, 2020, pp. 113-123.
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Zubova, S.P., Raetskaya, E.V. & Trung, L.H. Control Problem for Dynamical Systems with Partial Derivatives. J Math Sci 249, 941–953 (2020). https://doi.org/10.1007/s10958-020-04986-9
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DOI: https://doi.org/10.1007/s10958-020-04986-9