Ukrainian Mathematical Journal

, Volume 60, Issue 8, pp 1200–1209 | Cite as

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

  • L. A. Vlasenko
  • A. G. Rutkas
  • A. M. Samoilenko

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.


Cauchy Problem Bounded Linear Operator Pulse Action Impulsive Control Impulsive Function 


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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • L. A. Vlasenko
    • 1
  • A. G. Rutkas
    • 1
  • A. M. Samoilenko
    • 1
  1. 1.Kharkov National UniversityKharkovUkraine

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