DocumentCode :
1533329
Title :
Coherent 
Control for a Class of Annihilation Operator Linear Quantum Systems
Author :
Maalouf, Aline I. ; Petersen, Ian R.
Author_Institution :
Sch. of Eng. & Inf. Technol., Univ. of New South Wales at ADFA, Canberra, ACT, Australia
Volume :
56
Issue :
2
fYear :
2011
Firstpage :
309
Lastpage :
319
Abstract :
This paper considers a coherent H∞ control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a solution to the H∞ control problem can be obtained in terms of a pair of complex algebraic Riccati equations. In addition, the question of physical realizability of the resulting quantum controllers is related to a bounded real property.
Keywords :
H∞ control; Riccati equations; control system synthesis; differential equations; linear systems; quantum theory; stochastic systems; H∞ Control; Riccati equation; annihilation operator; linear quantum system; quantum system; stochastic differential equation; $H^{infty }$ control; coherent quantum control; complex algebraic Riccati equations; quantum controller realization; quantum feedback control; quantum optics;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2010.2052942
Filename :
5508361
Link To Document :
