Approximate stabilization for a nonlinear parabolic boundary-value problem

• Datum: 2011
• Hauptverfasser: Kapustyan, O. A., Kapustyan, O. V., Sukretna, A. V., Капустян, О. А., Капустян, О. В., Сукретна, А. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2750
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For a problem of optimal stabilization of solutions of a nonlinear parabolic boundary-value problem with small parameter of a nonlinear summand, we justify the form of approximate regulator on the basis of the formula of optimal synthesis of the corresponding linear quadratic problem.