Back to Search
Start Over
EXACT CONTROLLABILITY IN PROJECTIONS OF THE BILINEAR SCHRÖDINGER EQUATION.
- Source :
-
SIAM Journal on Control & Optimization . 2018, Vol. 56 Issue 4, p2901-2920. 20p. - Publication Year :
- 2018
-
Abstract
- We consider the bilinear Schrödinger equation with discrete-spectrum drift. We show, for n ∈ N arbitrary, exact controllability in projections on the first n given eigenstates. The controllability result relies on a generic controllability hypothesis on some associated finite-dimensional approximations. The method is based on Lie-algebraic control techniques applied to the finite-dimensional approximations coupled with classical topological arguments issuing from degree theory. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 56
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 131799946
- Full Text :
- https://doi.org/10.1137/17M1126424