TY - GEN
T1 - Effect of the spatial extent of the control in a bilinear control problem for the Schroedinger equation
AU - Kime, Katherine A.
PY - 2010
Y1 - 2010
N2 - We consider control of the one-dimensional Schroedinger equation through a time-varying potential. Using a finite difference semi-discretization, we consider increasing the extent of the potential from a single central grid-point in space to two or more gridpoints. With the differential geometry package in Maple 8, we compute and compare the corresponding Control Lie Algebras, identifying a trend in the number of elements which span the Control Lie Algebras.
AB - We consider control of the one-dimensional Schroedinger equation through a time-varying potential. Using a finite difference semi-discretization, we consider increasing the extent of the potential from a single central grid-point in space to two or more gridpoints. With the differential geometry package in Maple 8, we compute and compare the corresponding Control Lie Algebras, identifying a trend in the number of elements which span the Control Lie Algebras.
UR - http://www.scopus.com/inward/record.url?scp=77953714702&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77953714702&partnerID=8YFLogxK
U2 - 10.1115/DETC2009-86440
DO - 10.1115/DETC2009-86440
M3 - Conference contribution
AN - SCOPUS:77953714702
SN - 9780791849019
T3 - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
SP - 529
EP - 534
BT - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
T2 - 2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009
Y2 - 30 August 2009 through 2 September 2009
ER -