33,986 research outputs found
Quantum Robust Stability of a Small Josephson Junction in a Resonant Cavity
This paper applies recent results on the robust stability of nonlinear
quantum systems to the case of a Josephson junction in a resonant cavity. The
Josephson junction is characterized by a Hamiltonian operator which contains a
non-quadratic term involving a cosine function. This leads to a sector bounded
nonlinearity which enables the previously developed theory to be applied to
this system in order to analyze its stability.Comment: A version of this paper appeared in the proceedings of the 2012 IEEE
Multi-conference on Systems and Contro
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Representatives and Senators: Trends in Member Characteristics Since 1945
[Excerpt] This report provides profiles of Senators and Representatives in selected Congresses since 1945. It includes data based on Representatives and Senators serving on the first day of the 79th, 82nd, 87th, 92nd, 97th, 102nd, and 107th – 112th Congresses for several demographic characteristics, as well as the tenure of Member service in Congress. The characteristics discussed include age, including the oldest and youngest members of the House and Senate; congressional service tenure; sex; previous occupation; race and ethnicity; education; religion; and military service.
Following the written summaries of each characteristic, the report provides a number of tables that provide the detailed data by the category on which the summaries are based. All data tables appear in the “Member Characteristics Data Tables” section
Quantum Popov robust stability analysis of an optical cavity containing a saturated Kerr medium
This paper applies results on the robust stability of nonlinear quantum
systems to a system consisting an optical cavity containing a saturated Kerr
medium. The system is characterized by a Hamiltonian operator which contains a
non-quadratic term involving a quartic function of the annihilation and
creation operators. A saturated version of the Kerr nonlinearity leads to a
sector bounded nonlinearity which enables a quantum small gain theorem to be
applied to this system in order to analyze its stability. Also, a non-quadratic
version of a quantum Popov stability criterion is presented and applied to
analyze the stability of this system.Comment: A shortened version will appear in the Proceedings of the 2013
European Control Conferenc
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