Frequency-Weighted Model Reduction with Applications to Structured Models

In this paper, a frequency-weighted extension of a recently proposed model reduction method for linear systems is presented. The method uses convex optimization and can be used both with sample data and exact models. We also obtain bounds on the frequency-weighted error. The method is combined with a rank-minimization heuristic to approximate multiinput– multi-output systems.We also present two applications— environment compensation and simplification of interconnected models — where we argue the proposed methods are useful

Fast readout of a single Cooper-pair box using its quantum capacitance

We have fabricated a single Cooper-pair box (SCB) together with an on-chip lumped element resonator. By utilizing the quantum capacitance of the SCB, its state can be read out by detecting the phase of a radio-frequency (rf) signal reflected off the resonator. The resonator was optimized for fast readout. By studying quasiparticle tunneling events in the SCB, we have characterized the performance of the readout and found that we can perform a single shot parity measurement in approximately 50 ns. This is an order of magnitude faster than previously reported measurements.Comment: 7 pages, 5 figure

Trident: A three-pronged galaxy survey. I. Lyman alpha emitting galaxies at z~2 in GOODS North

Context. Lyman alpha emitting galaxies (LAEs) are used to probe the distant universe and are therefore important for galaxy evolution studies and for providing clues to the nature of the epoch of reionization, but the exact circumstances under which Lyman alpha escapes a galaxy are still not fully understood. Aims. The Trident project is designed to simultaneously examine Lyman alpha, H-alpha and Lyman Continuum emission from galaxies at redshift z~2, thus linking together these three aspects of ionising radiation in galaxies. In this paper, we outline the strategy of this project and examine the properties of LAEs in the GOODS North field. Methods. We performed a narrowband LAE survey in GOODS North using existing and two custom made filters at the Nordic Optical Telescope with MOSCA. We use complementary broad band archival data in the field to make a careful candidate selection and perform optical to near-IR SED fitting. We also estimate far-infrared luminosities by matching our candidates to detections in Spitzer/MIPS 24{\mu}m and Herschel/PACS catalogs. Results. We find a total of 25 LAE candidates, probing mainly the bright end of the LAE luminosity function with L_Ly {\alpha} ~ 1-15e42 erg/s. They display a range of masses of ~0.5-50e9 M_solar, and average ages from a few tens of Myr to 1 Gyr when assuming a constant star formation history. The majority of our candidates also show signs of recent elevated star formation. Three candidates have counterparts in the GOODS-Herschel far-IR catalogue, with luminosities consistent with ultra-luminous infrared galaxies (ULIRGs). Conclusions. The wide range of parameters derived from our SED fitting, as well as part of our sample being detected as ULIRGs, seems to indicate that at these Lyman alpha luminosities, LAEs do not necessarily have to be young dwarfs, and that a lack of dust is not required for Lyman alpha to escape.Comment: 16 pages, 12 figures. Accepted version for publication in A&

Photon generation in an electromagnetic cavity with a time-dependent boundary

We report the observation of photon generation in a microwave cavity with a time-dependent boundary condition. Our system is a microfabricated quarter-wave coplanar waveguide cavity. The electrical length of the cavity is varied using the tunable inductance of a superconducting quantum interference device. It is measured in the quantum regime, where the temperature is significantly less than the resonance frequency (~ 5 GHz). When the length is modulated at approximately twice the static resonance frequency, spontaneous oscillations of the cavity field are observed. Time-resolved measurements of the dynamical state of the cavity show multiple stable states. The behavior is well described by theory. Connections to the dynamical Casimir effect are discussed.Comment: 5 pages, 3 Figure

The pumpistor: a linearized model of a flux-pumped SQUID for use as a negative-resistance parametric amplifier

We describe a circuit model for a flux-driven SQUID. This is useful for developing insight into how these devices perform as active elements in parametric amplifiers. The key concept is that frequency mixing in a flux-pumped SQUID allows for the appearance of an effective negative resistance. In the three-wave, degenerate case treated here, a negative resistance appears only over a certain range of allowed input signal phase. This model readily lends itself to testable predictions of more complicated circuits.Comment: 4 pages, 3 figure

Efficient Computations of a Security Index for False Data Attacks in Power Networks

The resilience of Supervisory Control and Data Acquisition (SCADA) systems for electric power networks for certain cyber-attacks is considered. We analyze the vulnerability of the measurement system to false data attack on communicated measurements. The vulnerability analysis problem is shown to be NP-hard, meaning that unless $P = NP$ there is no polynomial time algorithm to analyze the vulnerability of the system. Nevertheless, we identify situations, such as the full measurement case, where it can be solved efficiently. In such cases, we show indeed that the problem can be cast as a generalization of the minimum cut problem involving costly nodes. We further show that it can be reformulated as a standard minimum cut problem (without costly nodes) on a modified graph of proportional size. An important consequence of this result is that our approach provides the first exact efficient algorithm for the vulnerability analysis problem under the full measurement assumption. Furthermore, our approach also provides an efficient heuristic algorithm for the general NP-hard problem. Our results are illustrated by numerical studies on benchmark systems including the IEEE 118-bus system

"Je ne regret rien?" : the value of adding anticipated regret to the theory of planned behaviour

Regret is fundamentally motivational, where there is a desire to be able to undo what has or has not been done; anticipating regret, therefore, seems a useful way of avoiding this negative experience and has been found to be a powerful mechanism for changing behaviour in areas such as economics and litigation (e.g. Larrick & Boles, 1995). Recent research has also been conducted into incorporating this explicitly affective component into the utilitarian-bound Theory of Planned Behaviour (Ajzen, 1985, 1988, 1991). A meta-analysis conducted in this thesis on all previous relevant research established that anticipated affective reactions, including regret, did make a significant contribution to the model in terms of increasing the variance in intentions. The remit of this PhD was to specifically consider anticipated regret’s predictive value to a broader variety of behaviours in a completely novel way. Study 1 differentiated between two particular behaviour types, Immediate Hedonic and Distal Benefit Behaviours, which mapped on to action and inaction regret respectively. A selection of these behaviours was used in Studies 2, 3 and 4, with Study 4 using an intervention designed to explicitly increase regret salience. Studies 5 and 6 set out to replicate the results from previous research into exercise behaviour by Abraham and Sheeran (2003; 2004), whilst Study 7 used an objective measure of exercise behaviour. The studies were either traditional pen-and-paper or web studies. The results provide overwhelming evidence that anticipated regret (unambiguously defined) adds significantly and independently to the predictive validity of the TPB in terms of intentions over and above the traditional TPB variables, even when controlling for past behaviour, experiential and instrumental attitudes. Replication of Abraham and Sheeran’s (2003; 2004) results (i.e. moderation by anticipated regret on the intention-behaviour relationship, mediated by intention stability) failed in pen-and-paper Study 5, although success was evident in web Study 6. Finally, although Study 7 explicitly established the disparate value of anticipated regret to the predictive validity of intention, there was a failure to detect any moderation or mediation effects: rather the most important predictor of exercise behaviour by Sports Centre members was past behaviour. Issues regarding multi-item versus single-item scales, web versus pen-and-paper designs, student versus ‘other’ populations, and observational designs are discussed with recommendations for further research