Simultaneous control of a rod equation and a simple Schrödinger equation

K. Kime

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


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
Issue number4
StatePublished - Mar 10 1995
Externally publishedYes


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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


Dive into the research topics of 'Simultaneous control of a rod equation and a simple Schrödinger equation'. Together they form a unique fingerprint.

Cite this