Title :
The dynamical inverse problem for a nonlinear Schrodinger equation using boundary control
Author :
Tomas-Rodriguez, M. ; Banks, S.P.
Author_Institution :
Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield, UK
Abstract :
The problem of determining the potential in a nonlinear one-dimensional Schrodinger equation from dynamical boundary observations is considered. The problem will be solved by a combination of a recent approximation technique for nonlinear dynamical systems, which reduces them to sequences of linear, time-varying systems, and the derivation of a spectral theory for these systems.
Keywords :
Schrodinger equation; approximation theory; inverse problems; nonlinear dynamical systems; parabolic equations; spectral analysis; time-varying systems; approximation technique; boundary control; dynamical inverse problem; linear systems; nonlinear Schrodinger equation; nonlinear dynamical systems; time-varying systems; Automatic control; Boundary conditions; Control systems; Controllability; Inverse problems; Linear approximation; Schrodinger equation; Systems engineering and theory; Tellurium; Time varying systems;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236996
