2017
Том 69
№ 6

All Issues

Optimal control with impulsive component for systems described by implicit parabolic operator differential equations

Samoilenko A. M., Vlasenko L. A.

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Abstract

We study the problem of optimal control with impulsive component for systems described by abstract Sobolev-type differential equations with unbounded operator coefficients in Hilbert spaces. The operator coefficient of the time derivative may be noninvertible. The main assumption is a restriction imposed on the resolvent of the characteristic operator pencil in a certain right half plane. Applications to Sobolevtype partial differential equations are discussed.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 8, pp 1250-1263.

Citation Example: Samoilenko A. M., Vlasenko L. A. Optimal control with impulsive component for systems described by implicit parabolic operator differential equations // Ukr. Mat. Zh. - 2009. - 61, № 8. - pp. 1053-1065.

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