We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Distributed tracking control of the Schrödinger equation with internal disturbance.
- Authors
HAOYUE CUI; GENQI XU; ZHONGJIE HAN
- Abstract
This paper concerns the existence of a solution and the stabilization of a one-dimensional Schrödinger equation with internal disturbance. Here, a non-linear controller is designed to stabilize the system. The existence of the solution for the system is verified by variation method, which can be regarded as an extended version of the Lions-Lax-Milgram theorem. The finite-time stability of the system under this control law is proved by Lyapunov analysis. Finally, some numerical simulations are presented for validating the effectiveness of the method.
- Subjects
LYAPUNOV exponents; DIFFERENTIAL equations; SCHRODINGER equation; PARTIAL differential equations; PARTICLE physics
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p831
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnv071