Time-optimal arriving control of material point in multidimensional space

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Abstract

In this paper, the problem of taking a material point from arbitrary initial conditions to the origin, in the minimum possible time, is addressed. It is considered that the motion of the material point is defined on a multidimensional region. Under this assumption, it is shown that for controllable systems there exists an infinity of time-optimal controls, which have sufficiently strange forms.

Original languageEnglish
Title of host publication2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009
DOIs
StatePublished - 2009
Event2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009 - Toluca, Mexico
Duration: 10 Nov 200913 Nov 2009

Publication series

Name2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009

Conference

Conference2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009
Country/TerritoryMexico
CityToluca
Period10/11/0913/11/09

Keywords

  • Maximum principle
  • Multidimensional systems
  • Optimal control

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