We establish conditions for the existence of an optimal impulsive control for an implicit operator differential equation with quadratic cost functional. The results obtained are applied to the filtration problem.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 8, pp. 1027–1034, August, 2008.
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Vlasenko, L.A., Rutkas, A.G. & Samoilenko, A.M. Problem of impulsive regulator for one dynamical system of the Sobolev type. Ukr Math J 60, 1200–1209 (2008). https://doi.org/10.1007/s11253-009-0135-y
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DOI: https://doi.org/10.1007/s11253-009-0135-y