Problem of impulsive regulator for one dynamical system of the Sobolev type
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.
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 8, pp 1200-1209.
Citation Example: Rutkas A. G., Samoilenko A. M., Vlasenko L. A. Problem of impulsive regulator for one dynamical system of the Sobolev type // Ukr. Mat. Zh. - 2008. - 60, № 8. - pp. 1027–1034.