Constrained bilinear systems

Navin Khaneja; Steffen J. Glaser

Constrained bilinear systems

Navin Khaneja, Steffen J. Glaser

Professur für Organische Chemie

Broad Institute of Harvard University

Publikation: Beitrag in Fachzeitschrift › Konferenzartikel › Begutachtung

3 Zitate (Scopus)

Abstract

In this paper, 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 ẋ = (A + Σ_nⁿ u_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(v₁, v₂,..., v_k) where g_i are polynomials and k < n. A general study of these systems is expected to find immediate applications in coherent control of quantum mechanical phenomenon.

Originalsprache	Englisch
Seiten (von - bis)	51-56
Seitenumfang	6
Fachzeitschrift	Proceedings of the IEEE Conference on Decision and Control
Jahrgang	1
Publikationsstatus	Veröffentlicht - 2002
Veranstaltung	41st IEEE Conference on Decision and Control - Las Vegas, NV, USA/Vereinigte Staaten Dauer: 10 Dez. 2002 → 13 Dez. 2002

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abstract = "In this paper, 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 ẋ = (A + Σnn uiBi)x are characterized by the fact that the controls can be expressed as polynomial functions of fewer parameters, i.e. ui = gi(v1, v2,..., vk) where gi are polynomials and k < n. A general study of these systems is expected to find immediate applications in coherent control of quantum mechanical phenomenon.",

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AU - Khaneja, Navin

AU - Glaser, Steffen J.

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AB - In this paper, 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 ẋ = (A + Σnn uiBi)x are characterized by the fact that the controls can be expressed as polynomial functions of fewer parameters, i.e. ui = gi(v1, v2,..., vk) where gi are polynomials and k < n. A general study of these systems is expected to find immediate applications in coherent control of quantum mechanical phenomenon.

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M3 - Conference article

AN - SCOPUS:0036996395

SN - 0191-2216

VL - 1

SP - 51

EP - 56

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 41st IEEE Conference on Decision and Control

Y2 - 10 December 2002 through 13 December 2002

ER -

Constrained bilinear systems

Abstract

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