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) |
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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 |
Externally published | Yes |
Keywords
- 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