Constrained bilinear systems

Author

Khaneja, Navin ; Glaser, Steffen J.

Author_Institution

Div. of Appl. Sci., Harvard Univ., Cambridge, MA, USA

Volume

1

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

51

Abstract

We study some model control problems which arise in connection with optimal manipulation of dissipative quantum dynamics. It is shown that the problem of optimal control of quantum mechanical phenomenon in presence of dissipation can be reduced to the study of optimization problems associated with a class of constrained bilinear control systems. These bilinear systems x˙=(A+Σ_iⁿu_iB_i)x are characterized by the fact that the controls can be expressed as polynomial functions of fewer parameters, i.e. u_i=g_i (υ₁, υ₂,...,υ_k) where g_i are polynomials and k\n\n\t\t

Keywords

Schrodinger equation; bilinear systems; discrete systems; optimal control; polynomials; quantum theory; constrained bilinear systems; dissipative quantum dynamics; model control problems; optimal control; optimal manipulation; optimization problems; polynomial functions; quantum mechanical phenomenon; Control systems; Mechanical systems; Nonlinear systems; Nuclear magnetic resonance; Optimal control; Polynomials; Quantum computing; Quantum mechanics; Sequences; Spectroscopy;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184466

Filename

1184466