DocumentCode
184040
Title
Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties
Author
Petersen, Ian R.
Author_Institution
Sch. of Eng. & Inf. Technol., Univ. of New South Wales, Canberra, ACT, Australia
fYear
2014
fDate
4-6 June 2014
Firstpage
3669
Lastpage
3673
Abstract
This paper presents a robust performance analysis result for a class of uncertain quantum systems containing sector bounded nonlinearities arising from perturbations to the system Hamiltonian. An LMI condition is given for calculating a guaranteed upper bound on a non-quadratic cost function. This result is illustrated with an example involving a Josephson junction in an electromagnetic cavity.
Keywords
control nonlinearities; discrete systems; linear matrix inequalities; uncertain systems; Josephson junction; LMI condition; electromagnetic cavity; guaranteed nonquadratic performance; nonlinear uncertainties; nonquadratic cost function; quantum system; robust performance analysis; system Hamiltonian; uncertain quantum system; Cavity resonators; Cost function; Couplings; Josephson junctions; Robust stability; Robustness; Vectors; Nonlinear systems; Quantum control; Uncertain systems;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2014
Conference_Location
Portland, OR
ISSN
0743-1619
Print_ISBN
978-1-4799-3272-6
Type
conf
DOI
10.1109/ACC.2014.6858903
Filename
6858903
Link To Document