Approximate stabilization for a nonlinear parabolic boundary-value problem

  • O. A. Kapustyan Київ. нац. ун-т iм. Т. Шевченка
  • O. V. Kapustyan
  • A. V. Sukretna Київ. нац. ун-т iм. Т. Шевченка

Abstract

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.
Published
25.05.2011
How to Cite
KapustyanO. A., KapustyanO. V., and SukretnaA. V. “Approximate Stabilization for a Nonlinear Parabolic Boundary-Value Problem”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 5, May 2011, pp. 654-61, https://umj.imath.kiev.ua/index.php/umj/article/view/2750.
Section
Research articles