Approximate stabilization for a nonlinear parabolic boundary-value problem

Authors

  • 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.

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Published

25.05.2011

Issue

Vol. 63 No. 5 (2011)

Section

Research articles

How to Cite

Kapustyan, O. A., et al. “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.