### 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 language | English (US) |
---|---|

Pages (from-to) | 301-306 |

Number of pages | 6 |

Journal | Systems and Control Letters |

Volume | 24 |

Issue number | 4 |

DOIs | |

State | Published - Mar 10 1995 |

### Fingerprint

### 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