Problem of impulsive regulator for one dynamical system of the Sobolev type

• Datum: 2008
• Hauptverfasser: Vlasenko, L. A., Rutkas, A. G., Samoilenko, A. M., Власенко, Л. А., Руткас, А. Г., Самойленко, А. М.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3220
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.