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Control smoothing splines with initial conditions

  • University of Latvia
  • Riga Technical University

Research output: Chapter in Book/Report/Conference proceedingConference paperResearchpeer-review

2 Citations (Scopus)

Abstract

This work is devoted to the problem of optimal control of a linear dynamic system with initial conditions. The main attention is paid to a controlled system reduced to the second order differential equation considered with the cost functional which controls the input function of this system to push a trajectory nearby a set of desired points. We show how the technique of smoothing splines can be adapted for construction of solutions of such problem.

Original languageEnglish
Title of host publication17th Conference on Applied Mathematics, APLIMAT 2018 - Proceedings
EditorsPeter Letavaj, Daniela Richtarikova, Dagmar Szarkova, Jana Gabkova
PublisherSlovak University of Technology in Bratislava
Pages14-21
Number of pages8
ISBN (Electronic)9788022747653
Publication statusPublished - 2018
Event17th Conference on Applied Mathematics, APLIMAT 2018 - Bratislava, Slovakia
Duration: 6 Feb 20188 Feb 2018

Publication series

Name17th Conference on Applied Mathematics, APLIMAT 2018 - Proceedings
Volume2018-February

Conference

Conference17th Conference on Applied Mathematics, APLIMAT 2018
Country/TerritorySlovakia
CityBratislava
Period6/02/188/02/18

Keywords

  • Control theory
  • Dynamic system
  • Smoothing spline

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