REACHABILITY BY MEANS OF NICE CONTROLS.

Research output: Contribution to journalConference article

11 Scopus citations

Abstract

A proof is offered for a stronger version of the Pontryagin maximum principle. It says that if a point y can be reached from a point x by a control eta and corresponding trajectory gamma of a control system dx/dt equals f(x, u), and ( gamma , eta ) is not a Pontryagin extremal, then y belongs to the interior of the set of points that can be reached from x by means of piecewise constant controls. Under more restrictive conditions, the same conclusion also holds with continuous, smooth, or polynomial controls.

Original languageEnglish (US)
Pages (from-to)1368-1378
Number of pages11
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
StatePublished - 1987

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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