<p>The <em>IceCube telescope</em> is built within the ice at the geographical South Pole in the middle of the Antarctica continent. The purpose of the telescope is to detect muon neutrinos, the muon neutrino being an elementary particle with minuscule mass coming from space.</p><p>The detector consists of some 5000 DOMs registering photon hits (light). A muon neutrino traveling through the detector might give rise to a track of photons making up a straight line, and by analyzing the hit output of the DOMs, looking for tracks, neutrinos and their direction can be detected.</p><p>When processing the output, triggers are used. Triggers are calculation- efficient algorithms used to tell if the hits seem to make up a track - if that is the case, all hits are processed more carefully to find the direction and other properties of the track.</p><p>The Track Engine is an additional trigger, specialized to trigger on low- energy events (few track hits), which are particularly difficult to detect. Low-energy events are of special interest in the search for Dark Matter.</p><p>An algorithm for triggering on low-energy events has been suggested. Its main idea is to divide time in overlapping time windows, find all possible pairs of hits in each time window, calculate the spherical coordinates θ and ϕ of the position vectors of the hits of the pairs, histogram the angles, and look for peaks in the resulting 2d-histogram. Such peaks would indicate a straight line of hits, and, hence, a track.</p><p>It is not believed that a software implementation of the algorithm would be fast enough. The Master's Thesis project has had the aim of developing an FPGA implementation of the algorithm.</p><p>Such an FPGA implementation has been developed. Extensive tests on the design has yielded positive results showing that it is fully functional. The design can be synthesized to about 180 MHz, making it possible to handle an incoming hit rate of about 6 MHz, giving a margin of more than twice to the expected average hit rate of 2.6 MHz.</p>

It has been proposed that the various 14-3-3 isotypes and isoforms present in all eukaryotes are largely functionally equivalent. However, this is not consistent with the conservation of multiple isoforms and isotypes, especially in vertebrates with seven 14-3-3 encoding genes and nine isotypes. The hypothesis tested in this thesis is that both isoform-specific and overlapping functions are likely mediated through tissue specific expression, colocalization and dimerization of 14-3-3 proteins occur in vivo. Drosophila melanogaster was selected because it offers a simple, but representative system to study these proteins functionally. This thesis focuses primarily on D14-3-3?, although the expression pattern and phenotypes associated with all three Drosophila 14-3-3s were determined. I first determined the expression pattern of the three different 14-3-3 isotypes (leoI, leoII and D14-3-3?) and described developmental phenotypes associated with mutations in 14-3-3 isotypes in Drosophila. I found that there is partial redundancy with respect to lethality. Both LEO and D14-3-3? appear required for normal germ-line and somatic gonadal development. However, they do not appear to be functionally equivalent with respect to this phenotype since LEO is unable to compensate for the loss of D14-3-3?. I also determined that D14-3-3? mutants have unique phenotypes including deficits in adult cross-vein formation and rapid habituation to olfactory and footshock stimuli. To further understand the unique role that D14-3-3? plays in the adult CNS, I mapped the areas in the brain involved in olfactory and footshock habituation. I found that although the mushroom bodies (MBs) are necessary to inhibit premature habituation such as that exhibited by D14-3-3? mutants, D14-3-3? expression specifically in the MBs is not sufficient to rescue premature habituation. Although the loss of either LEO or D14-3-3? appears to cause a deficit in olfactory associative learning, premature habituation is the cause of the deficit seen in D14-3-3? mutants. As leo mutants do not exhibit a premature habituation phenotype, it appears that within the MBs LEO and D14-3-3? are not functionally equivalent. Therefore, the data supports the hypothesis that 14-3-3s have functional specificity and redundancy likely to represent use of homo and heterodimers in different processes within the tissues of an organism.

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The central problem of the thesis is to investigate the international legal validity of the Canadian claim to the Arctic Archipelago. In order to consider the bearing on the problem of the "sector principl" the area investigated comprised the islands, waters and permanent ice lying between the the 60th and 141st meridians of west longitude extended to the North Pole, which meridians are northerly projections of Canada's easternmost and westernmost boundaries.<p> After a brief review of the facts and law surrounding the transfer of British Arctic possessions to Canada in 1870 and 1800, the international law applicable to archipelagic formations and to the acquisition of title to terrae nullius was examined. There followed, in the perspective of international law and the historical precedents, an examination of the Canadian claims to (a) the islands of the Arctic Archipelago, and (b) the adjacent waters, especially the aftermath of the two voyages of the Manhattan and the Canadian legislation of June, 1970, extending territorial waters to a breadth of twelve miles and creating a large anti-pollution zone.<p> It was concluded that Canada's claim to the islands was very strong, either under the "prescription" or the "consolidation" doctrines, especially in the absence of serious adverse claims, and in the light of a vigorous Canadian manifestation of animus occupandi for several decades, at least.<p> Although the validity of the recent Canadian Maritime claims had been questioned by the United States, it was suggested either on the basis of the "consolidation" doctrine or in view of the evolving, norms of the international law of the sea that here also Canada could make out a strong case in support of the legislation of June, 1970.

The IceCube telescope is built within the ice at the geographical South Pole in the middle of the Antarctica continent. The purpose of the telescope is to detect muon neutrinos, the muon neutrino being an elementary particle with minuscule mass coming from space. The detector consists of some 5000 DOMs registering photon hits (light). A muon neutrino traveling through the detector might give rise to a track of photons making up a straight line, and by analyzing the hit output of the DOMs, looking for tracks, neutrinos and their direction can be detected. When processing the output, triggers are used. Triggers are calculation- efficient algorithms used to tell if the hits seem to make up a track - if that is the case, all hits are processed more carefully to find the direction and other properties of the track. The Track Engine is an additional trigger, specialized to trigger on low- energy events (few track hits), which are particularly difficult to detect. Low-energy events are of special interest in the search for Dark Matter. An algorithm for triggering on low-energy events has been suggested. Its main idea is to divide time in overlapping time windows, find all possible pairs of hits in each time window, calculate the spherical coordinates θ and ϕ of the position vectors of the hits of the pairs, histogram the angles, and look for peaks in the resulting 2d-histogram. Such peaks would indicate a straight line of hits, and, hence, a track. It is not believed that a software implementation of the algorithm would be fast enough. The Master's Thesis project has had the aim of developing an FPGA implementation of the algorithm. Such an FPGA implementation has been developed. Extensive tests on the design has yielded positive results showing that it is fully functional. The design can be synthesized to about 180 MHz, making it possible to handle an incoming hit rate of about 6 MHz, giving a margin of more than twice to the expected average hit rate of 2.6 MHz.

The researchers at the Department of Electricity at Uppsala University has recently entered the field of electric motor design, however no real knowledge of motor control of salient pole permanent magnet motors exists in the department. This thesis will present a general description of the control method of motors that exist today, this has been done by reviewing existing literature. The literature review has shown that there are at least three control methods with a significant different in their control approach, Scalar-, Field Oriented- and Direct Torque- Control. The two last methods were chosen by the author as the most useful and was implemented and simulated together with the newly developed motor in MATLAB Simulink to evaluate their performance. The simulation results show that there is no difference in performance of the two methods, but they show a difference in efficiency. The results show that it's worth to develop both methods further, mainly for reducing the torque and current ripple. This result was not expected according to literature, which suggests that the Field Oriented Control has a lower torque ripple. This could be caused by the choice of hysteresis control for inverter switching, instead of more sophisticated methods with a proportional integral derivative controller (PID) together with Sinusoidal Pulse Width Modulation (SPWM) or Space Vector Modulation (SVM).

The central problem of the thesis is to investigate the international legal validity of the Canadian claim to the Arctic Archipelago. In order to consider the bearing on the problem of the "sector principl" the area investigated comprised the islands, waters and permanent ice lying between the the 60th and 141st meridians of west longitude extended to the North Pole, which meridians are northerly projections of Canada's easternmost and westernmost boundaries.<p> After a brief review of the facts and law surrounding the transfer of British Arctic possessions to Canada in 1870 and 1800, the international law applicable to archipelagic formations and to the acquisition of title to terrae nullius was examined. There followed, in the perspective of international law and the historical precedents, an examination of the Canadian claims to (a) the islands of the Arctic Archipelago, and (b) the adjacent waters, especially the aftermath of the two voyages of the Manhattan and the Canadian legislation of June, 1970, extending territorial waters to a breadth of twelve miles and creating a large anti-pollution zone.<p> It was concluded that Canada's claim to the islands was very strong, either under the "prescription" or the "consolidation" doctrines, especially in the absence of serious adverse claims, and in the light of a vigorous Canadian manifestation of animus occupandi for several decades, at least.<p> Although the validity of the recent Canadian Maritime claims had been questioned by the United States, it was suggested either on the basis of the "consolidation" doctrine or in view of the evolving, norms of the international law of the sea that here also Canada could make out a strong case in support of the legislation of June, 1970.

There are two main approaches to robust stability analysis: the input-output stability framework with scaling or multiplier, and the Lyapunov functions. Analysis methods in these two directions are usually developed independently, and the relationship between the two is not clear except for some special cases. This motivates us to study the relationship between the two approaches. The generalized performance problem refers to certain frequency-domain conditions on a transfer matrix. We prove the equivalent relationship between generalized performance and robust stability under certain assumptions. The definition of generalized performance requires the internal stability of a transfer matrix, which is not a necessity for robust stability. In view of this, we derive new frequency-domain conditions for robust stability without this requirement. Our result contains a version of the circle criterion as a special case. To tackle the generalized performance problem, we propose a version of the Kalman-Yakubovich-Popov (KYP) lemma to transform the frequency-domain conditions into linear matrix inequalities (LMIs). The proposed LMI condition is then connected to the quadratic stability of an uncertain linear system. Combining the derived results gives a clear picture of the relationships between robust stability, generalized performance, quadratic stability, and KYP lemma. The connections not only unify some previous results but also extend those results to more general stability regions and types of uncertainty. In addition to robust stability analysis, we also tackle the corresponding synthesis problem, i.e. robust pole placement. The desired region for robust pole placement can be the intersection or the union of simple regions. (Simple regions are the half plane, the disk, and the outside of a disk.) One contribution of our synthesis result is that the desired region can be non-convex¡Xmost results on robust pole placement focus on convex regions only. Two examples of the longitudinal control of a combat aircraft and the attitude control of a satellite demonstrate the effectiveness of our result.

The thesis considers the problems of designing a dynamic output feedback controller to discrete time systems with polytopic uncertainty so that the closed-loop systems are DR stable with their transfer matrices having H2 norm and H¡Û norm bounded by a prescribed value ru. The formar part of the thesis provides less conservative LMI conditions for H2 and H¡Û analysis and the output feedback control of discrete system than those appeared in the current research. While the latter part of the thesis extend the current research to DR stable with H2 and H¡Û design. Finally, numerical examples are illustrated to show improvement of the propered result.

Abstract In this dissertation, the eigenvalue analysis and decentralized robust controller design of uncertain multi-time-scale system with parametrical perturbations are considered. Because the eigenvalues of the multi-time-scale systems cluster in some difference regions of the complex plane, we can use the singular perturbation method to separate the systems into some subsystems. These subsystems are independent to each other. We can discuss the properties of eigenvalues and design controller for these subsystem respectively, then we composite these controllers to a decentralized controller. The eigenvalue positions dominate the stability and the performance of the dynamic system. However, we cannot obtain the precise position of the eigenvalues from the influence of parametrical perturbations. The sufficient conditions of the eigenvalues clustering for the multi-time-scale systems will be discussed. The uncertainties consider as unstructured and structured perturbations are taken into considerations. The design algorithm provides for designing a decentralized controller that can assign the poles to our respect regions. The specified regions are half-plane and circular disk. Furthermore, the concepts of decentralized control and optimal control are used to design the linear quadratic regulator (LQR) controller and linear quadratic Gaussian (LQG) controller for the perturbed multi-time-scale systems. That is, the system can get the optimal robust performance. The bound of the singular perturbation parameter would influence the robust stability of the multi-time-scale systems. Finally, the sufficient condition to obtain the upper bound of the singular perturbation parameter presented by the Lyapunov method and matrix norm. The condition also extends for the pole assignment in the specified regions of each subsystem respectively. The illustrative examples are presented behind each topic. They show the applicability of the proposed theorems, and the results are satisfactory.