TY - JOUR
T1 - Quantum Dissipative Systems and Feedback Control Design by Interconnection
AU - James, Matthew R.
AU - Gough, John Edward
N1 - IEEE Transactions on Automatic Control, 1806 - 1821, Volume: 55 , Issue:8, Aug. 2010
INSPEC Accession Number: 11447145
Digital Object Identifier : 10.1109/TAC.2010.2046067
Sponsorship: EPSRC, Australian Research Council
PY - 2010/8/1
Y1 - 2010/8/1
N2 - The purpose of this paper is to extend J.C. Willems' theory of dissipative systems to open quantum systems described by quantum noise models. This theory, which combines ideas from quantum physics and control theory, provides useful methods for analysis and design of dissipative quantum systems. We describe the interaction of the plant and a class of external systems, called exosystems, in terms of feedback networks of interconnected open quantum systems. Our results include an infinitesimal characterization of the dissipation property, which generalizes the well-known Positive Real and Bounded Real Lemmas, and is used to study some properties of quantum dissipative systems. We also show how to formulate control design problems using network models for open quantum systems, which implements Willems' “control by interconnection” for open quantum systems. This control design formulation includes, for example, standard problems of stabilization, regulation, and robust control.
AB - The purpose of this paper is to extend J.C. Willems' theory of dissipative systems to open quantum systems described by quantum noise models. This theory, which combines ideas from quantum physics and control theory, provides useful methods for analysis and design of dissipative quantum systems. We describe the interaction of the plant and a class of external systems, called exosystems, in terms of feedback networks of interconnected open quantum systems. Our results include an infinitesimal characterization of the dissipation property, which generalizes the well-known Positive Real and Bounded Real Lemmas, and is used to study some properties of quantum dissipative systems. We also show how to formulate control design problems using network models for open quantum systems, which implements Willems' “control by interconnection” for open quantum systems. This control design formulation includes, for example, standard problems of stabilization, regulation, and robust control.
U2 - 10.1109/TAC.2010.2046067
DO - 10.1109/TAC.2010.2046067
M3 - Article
SN - 0018-9286
VL - 55
SP - 1806
EP - 1821
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 8
ER -