We consider the problem for a distributed control with compromise quality functional for systems whose states are described by evolution equations that are unsolved with respect to the higher order time derivative. We establish the solvability of the problem for linear and quasilinear equations. The results are illustrated by an example. Bibliography: 12 titles.
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Translated from Problemy Matematicheskogo Analiza 86, July 2016, pp. 59-66.
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Plekhanova, M.V. Optimal Control for Quasilinear Degenerate Distributed Systems of Higher Order. J Math Sci 219, 236–244 (2016). https://doi.org/10.1007/s10958-016-3101-x
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DOI: https://doi.org/10.1007/s10958-016-3101-x