Title :
Singular Perturbation Approximations for a Class of Linear Quantum Systems
Author :
Petersen, Ian R.
Author_Institution :
Sch. of Eng. & Inf. Technol., Univ. of New South Wales, Canberra, ACT, Australia
Abstract :
This technical note considers the use of singular perturbation approximations for a class of linear quantum systems arising in the area of linear quantum optics. The technical note presents results on the physical realizability properties of the approximate system arising from singular perturbation model reduction.
Keywords :
approximation theory; discrete time systems; linear systems; quantum optics; reduced order systems; singularly perturbed systems; linear quantum optics; linear quantum systems; physical realizability properties; singular perturbation approximations; singular perturbation model reduction; Approximation methods; Cavity resonators; Couplings; Linear systems; Optical feedback; Quantum mechanics; Transfer functions; Quantum stochastic differential equations (QSDEs);
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2012.2203030