Analytical construction techniques for some solutions of forced piecewise constant delay equations

DAW Barton, RE Wilson

Research output: Working paperWorking paper and Preprints

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Abstract

This paper studies a model of delayed bang-bang control under periodic saw-tooth forcing. Solutions with the same period as the forcing are constructed analytically. A simple two-parameter diagram showing the domain of existence of such solutions is derived
Original languageEnglish
Publication statusUnpublished - 2004

Bibliographical note

Sponsorship: The authors would like to thank Bernd Krauskopf for helpful comments and suggestions during the writing of this paper.

Keywords

  • feedback control
  • dynamics
  • time delay
  • periodic motion

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