Simultaneous control of a rod equation and a simple Schrödinger equation

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20 Scopus citations

Abstract

We show that a corollary of a local approximate controllability result for the bilinear rod equation in [1] is that the controls which "steer" the modes of the rod equation also move the modes of a controlled Schrödinger equation. Specifying a target point for the Schrödinger system restricts but does not determine the outcome of the controlled rod equation. The local result is a special case of a general local result for hyperbolic systems, which is used in [1] to obtain a global approximate controllability result. After modifying the latter, we obtain a global result for the two systems.

Original languageEnglish (US)
Pages (from-to)301-306
Number of pages6
JournalSystems and Control Letters
Volume24
Issue number4
DOIs
StatePublished - Mar 10 1995

Keywords

  • Bilinear control
  • Local control
  • Phase shift
  • Rod equation
  • Schrödinger equation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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