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Applications

  • Michail I. Zelikin
  • Vladimir Borisov
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

The simplest nontrivial case admitting visualization is a three-dimensional space with a curve as a singular manifold. We consider two such examples. The first one (Problem 6.1) is a modification of Fuller’s problem. This is required to minimize the weighted mean-square deviation of a massive object from the origin. The role of the control belongs to a bounded force and the weight is the discounted factor e−αt. The second example (Problem 6.2) is a time-optimal problem for some control system of third order.

Keywords

Optimal Trajectory Singular Solution Robot Control Resource Allocation Problem Optimal Synthesis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1994

Authors and Affiliations

  • Michail I. Zelikin
    • 1
  • Vladimir Borisov
    • 2
  1. 1.Department of MathematicsMoscow State UniversityMoscowRussia
  2. 2.Department of MathematicsMoscow Technological InstituteMoscowRussia

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