TY - GEN
T1 - Robust stability analysis of an optical parametric amplifier quantum system
AU - Petersen, Ian R.
PY - 2013
Y1 - 2013
N2 - This paper considers the problem of robust stability for a class of uncertain nonlinear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with non-quadratic perturbations to the system Hamiltonian. The paper extends recent results on the robust stability of nonlinear quantum systems to allow for non-quadratic perturbations to the Hamiltonian which depend on multiple parameters. A robust stability condition is given in terms of a strict bounded real condition. This result is then applied to the robust stability analysis of a nonlinear quantum system which is a model of an optical parametric amplifier.
AB - This paper considers the problem of robust stability for a class of uncertain nonlinear quantum systems subject to unknown perturbations in the system Hamiltonian. The case of a nominal linear quantum system is considered with non-quadratic perturbations to the system Hamiltonian. The paper extends recent results on the robust stability of nonlinear quantum systems to allow for non-quadratic perturbations to the Hamiltonian which depend on multiple parameters. A robust stability condition is given in terms of a strict bounded real condition. This result is then applied to the robust stability analysis of a nonlinear quantum system which is a model of an optical parametric amplifier.
UR - http://www.scopus.com/inward/record.url?scp=84886550310&partnerID=8YFLogxK
U2 - 10.1109/ASCC.2013.6606165
DO - 10.1109/ASCC.2013.6606165
M3 - Conference contribution
SN - 9781467357692
T3 - 2013 9th Asian Control Conference, ASCC 2013
BT - 2013 9th Asian Control Conference, ASCC 2013
T2 - 2013 9th Asian Control Conference, ASCC 2013
Y2 - 23 June 2013 through 26 June 2013
ER -