In the study of linear time-invariant systems, a number of definitions, such as controllability, observability, not having decentralized fixed modes, minimum phase, etc., have been made. These definitions are highly useful in obtaining existence results for solving various types of control problems, but a drawback to these definitions is that they are binary, which simply determines whether a system is, for instance, either controllable or uncontrollable. In practical situations, however, there are many uncertainties in a system’s parameters caused by linearization, modelling errors, discretizations, and other numerical approximations and/or errors. So knowing that a system is controllable can sometimes be misleading if the controllable system is actually "almost" uncontrollable as a result of such uncertainties. Since an "almost" uncontrollable system poses significant difficulty in designing a quality controller, a continuous measure of controllability, called a controllability radius, is more desirable to use and has been widely studied in the past. The main focus of this thesis is to extend the development behind the controllability radius, with an emphasis on real parametric perturbations, to other definitions, replacing the traditional binary 'yes/no' metrics with continuous measures. We study four topics related to this development. First, we generalize the concept of real perturbation values of a matrix to the cases of matrix pairs and matrix triplets. By doing so, we are able to deal with more general perturbation structures and subsequently study, in addition to standard LTI systems, other types of systems such as LTI descriptor and time-delay systems. Second, we introduce the real decentralized fixed mode (DFM) radius, the real transmission zero at s radius, and the real minimum phase radius, which respectively measure how "close" i) a decentralized LTI system is to having a DFM, ii) a centralized system is to having a transmission zero at a particular point s in the complex plane, and iii) a minimum phase system is to being a nonminimum phase system. These radii are defined in terms of real parametric perturbations, and computable formulas for these radii are derived using a characterization based on real perturbation values and the aforementioned generalizations. Third, we present two efficient algorithms to i) solve the general real perturbation value problem, and ii) evaluate the various real LTI robustness radii introduced in this thesis. Finally as the last topic, we study the ability of a LTI system to achieve high performance control, and characterize the difficulty of achieving high performance control using a new continuous measure called the Toughness Index. A number of examples involving the various measures are studied in this thesis.

Aim: The primary aim of this study was to find if there is any correlation between the corneal radius of curvature and its eccentricity. Method: 45 subjects participated in this study, 24 emmetropes, 18 myopes and three hyperopes. All subjects were free of ocular abnormalities and had no media opacities. All the subjects had normal ocular health and good visual acuity of 1.0 or better for both distance and near. The values for eccentricity and corneal radius of curvature were obtained by using a Topcon CA-100F Corneal Analyzer. Results: For the 4.5 mm zone the only significant correlation between corneal radius of curvature and eccentricity was obtained for the mean of the meridian (p = 0.007). On the other hand, we found no significant correlation for the average of two meridians or for meridian 1 and meridian 2 separately in the 8.0 mm zone. Conclusions: We found no correlation between the corneal radius of curvature and the eccentricity for both zones. In addition, no correlation could be found between the spherical equivalent of the refractive errors and the corneal eccentricity. The reason for not finding any significant correlation between the two entities could be due to factors such as smaller sample size and poor distribution of refractive errors in the sample. Moreover, there may be other factors that could influence the overall corneal shape like eye shape, axial length and corneal diameter, which was not evaluated in this study.

A methodology for making a spring back behaviour of hole expansion in gas tank. Work is initiated for SAAb automobile and the geometry of model is created by using the software’s called Unigraphics and hyper mesh and secondly the simulation of the model is done in Ls-dyna to know the spring back behaviour of hole with various depth and positions of the punch. The yield strength of the element and stress, strain distribution and different radius of the blank are used to reduce the cracks at the lower edge of the blank. Steel material is used and the thickness of the material (0.229mm). The simulation of the work includes loading of punch and its displacement. This study demonstrates the efficiency of the model to simulate the hole expansion and better understanding of the expansion of radius and spring back angle. / Measurement of spring back behaviour

We investigate the structure of trees that have greatest maximum eigenvalue among all trees with a given degree sequence. We show that in such an extremal tree the degree sequence is non-increasing with respect to an ordering of the vertices that is obtained by breadth-first search. This structure is uniquely determined up to isomorphism. We also show that the maximum eigenvalue in such classes of trees is strictly monotone with respect to majorization. (author´s abstract) / Series: Research Report Series / Department of Statistics and Mathematics

The bottleneck of forming small radius tube is that traditional processing methods can¡¦t effectively produce smaller bend radius tube in domestic industry now. First, this study will propose methods without mandrel, based on traditional bending way of rotary draw bending to form small bending radius tubes. This paper investigate results of traditional bending mode without mandrel in second part. By using finite element analysis, find the effects on wall-thinning, wall-thickening and ovility with different processing parameters. Also using the research results to obtain forming ranges. Through heating tubes we explore the possibility of hot forming of parameters and to find the impacts on bending tubes which heating under different parameters. We use the results above to find out the hot forming ranges. In heating and quenching of rotary draw bending experiments, we found that heating tubes under the same processing parameter can effectively enhance the formability and successfully derive better products of small radius bending tubes, to accomplish non-mandrel rotary bending process of small bending radius.

This thesis uses a method called "parabolic equation approach." This method can treat both the variations of the terrain and the refractive index simultaneously. This method makes it possible to predict the radio propagation more precisely. We can discuss the effects of the variations of the refractive index to radio signal and demo effects by using parabolic equation method. The Effective Earth Radius Factor is 4/3 suggested by CCIR so-called "Standard Atmosphere Model". But we try to find more suitable K in the Southern Taiwan area. We adopt Parabolic Equation Propagation Model to simulate real situation of radio propagation in the Southern Taiwan area and the prediction is compared with the measurement obtained previously. We can get the best K in the Southern Taiwan area is 1.8 and 1.9. The best K is greater than the value of 4/3 suggested by CCIR. Recently the government on Taiwan release more radio broadcasting licenses to the general public. As the number of radio stations increases, the interference between stations becomes more likely. There have been reports about the poor quality of broadcasting from stations. In this paper, we will study the interference using FM radio stations as an example. Given the characteristics of the transmitting antenna including location, frequency, pattern, height and power, the field strength can be computed with the equivalent earth radius factor K as a parameter. The difference in interference level is obtained under the standard atmosphere (K=4/3) and a case of K=1.55 which has been reported to be more suitable in Taiwan. Finally an extreme case that a ducting exists will be studied. Our results can be used to find more suitable separation distances free from interferences between co-channel and adjacent channel stations. By including a realistic tropospheric term, the more accurate field strength predictions can give the Spectrum Authority a better spectrum assignment tool. This has the potential to increase the number of available stations that can be made available or to reduce the interference stations may experience.

<p>I dagsläget ligger oftast fokus för datasäkerhet hos de flesta företag och organisationer på att skydda gränsen mellan det egna interna datanätverket och det yttre publika. Detta kan leda till att skyddet på insidan försummas och öppna upp möjligheter för olika typer av obehörig användning.</p><p>Företag X har ett stort datanätverk med behov av skydd på insidan. Detta beror på att fysisk tillgång till nätverket är svår att begränsa på grund av att det till största del är placerat i öppna miljöer. Detta examensarbete behandlar en implementation av standarden 802.1x hos detta företag. 802.1x gör det möjligt att begränsa användandet av datanätverket baserat på vilka premisser ändutrustningen verifierar sig med. Åtkomst till nätverket sätts redan på den fysiska porten i nätverket där utrustningen kopplas in.</p><p>Kraven och önskemålen från företaget har varit att ta fram och genomföra test av en lösning som innehåller verifieringsmetoder för olika typer av ändutrustning. Kraven har inkluderat metoder för att verifiera ordinarie användare, besökare och övrig utrustning. Dessutom fanns krav på att lösningen inte skulle påverka nuvarande produktionssystem nämnvärt samt vara redundant för att garantera kontinuerlig tillgänglighet.</p><p>För att ta fram denna lösning utfördes laborationer i en miljö som motsvarar företagets produktionsmiljö. Lösningen som togs fram bygger i månt och mycket på befintliga komponenter i företagets datasystem. En radiusserver tar emot inloggningsförfrågningar från ändutrustning och verifierar mot katalogtjänsten. För att passa in i nuvarande system har FreeRADIUS använts för detta ändamål då funktionalitet finns för samarbete gentemot företagets befintliga katalogtjänst som är Novell eDirectory. Olika sorters användare och ändutrustning får sedan tillgång till rätt resurser dynamiskt beroende på deras förutbestämda rättigheter.</p> / <p>In today’s computer networks, the companies and organisations concerns of security mostly are about protecting the border between the internal and external networks. This can lead to neglecting the inside protection which creates opportunities for unauthorized usage of the companies resources.</p><p>The company that this thesis discusses have a large computer network with protection needed on the inside as physical access to the network is hard to limit due to open environments. This thesis focuses on an implementation of the 802.1x standard at the above mentioned company. 802.1x make it possible to limit usage of the computer network based on the credentials delivered from the connected devices. The devices get validated on the physical port that they connect to the network through.</p><p>The company requested a solution which included methods for authentication of different kinds of users and equipment. This could be regular users, visitors and other devices. Part from that there were demands of a minimal influence on the existing environment and redundancy to guarantee highest possible availability.</p><p>To reach the solution, a test setup was implemented in an environment corresponding to the company’s production system. The final solution was mainly built on components already existing at company’s site. Authentication requests made by users or devices are passed to a radius server which in turn asks the directory service for authentication validation. FreeRADIUS have been the solution of choice for this as it fits the requirements to cooperate with the company’s already existing Novell eDirectory. The end users and devices then dynamically get access to appropriate resources based on their assigned rights.</p>

In der Arbeit wird der Standard 802.1x (Port-Based Network Access Control) näher betrachtet. Es werden die Funktionsweise und die Eigenschaften dieses Standards aufgezeigt. Weiterhin werden Hardware- und Softwareprodukte für die Nutzung des durch den Standard definierten Authentifizierungsverfahrens vorgestellt und analysiert. Abschließend erfolgt die Betrachtung für den Einsatz an der TU Chemnitz und der damit erfolgten Entwicklung einer Authenticator Komponenten.

We describe the structure of those graphs that have largest spectral radius in the class of all connected graphs with a given degree sequence. We show that in such a graph the degree sequence is non-increasing with respect to an ordering of the vertices induced by breadth-first search. For trees the resulting structure is uniquely determined up to isomorphism. We also show that the largest spectral radius in such classes of trees is strictly monotone with respect to majorization. This paper is the revised final version of the preprint no. 35 of this research report series. (author´s abstract) / Series: Research Report Series / Department of Statistics and Mathematics

We have demonstrated a flexible optical waveguide film with integrated VCSEL and PIN photodiode arrays for the fully embedded board level optical interconnection system. One of the most critical issues in the fully embedded board level optical interconnection system is the signal beam coupling between the guided-wave structure and the aperture of VCSEL (or PIN photodiode). The coupling efficiencies of spherical mirrors are calculated as a function of mirror radius. The optimum mirror radius ranges which are compatible with the fully embedded board level optical interconnection system are theoretically verified. The thermal characteristics of a thin film VCSEL are studied both theoretically and experimentally. The thermal resistances of VCSEL with variable thickness, ranging from 10 [mu]m to 200 [mu]m, have been determined by measuring the output wavelength shift as a function of the dissipated power. The thermal simulation results agree reasonably well with experimentally measured data. From the thermal management point of view, a thinned VCSEL has an exclusive advantage due to the reduction of the thermal resistance. The thermal resistance of 10 [mu]m thick VCSEL is 40 % lower than that of 200 [mu]m thick VCSEL. The theoretical analysis of thermal via effects is performed to determine optimized thickness ranges of thin film VCSEL for the fully embedded structure. Thermal resistance of the fully embedded thin film VCSEL with closed and open thermal via structures are also evaluated with the suitable VCSEL thickness reported. The high-performance computing system is demonstrated using a 16-channel optical backplane using thin film volume holographic gratings. The optical backplane contains TO-46-Can-packaged VCSELs and photodiodes as an optical transmitter and receiver, respectively. Optical packaging plates are fabricated for 4 X 8 array packaging for 16-VCSELs and 16-Photodiodes. Packaging issues including crosstalk and alignment tolerance are studied to design a low cost optical packaging scheme. Thin film volume hologram grating is fabricated on glass substrate to redirect light beams. An individual single channel performs at a 100 MHz data transfer rate. The high-performance computing system using 16-channel optical backplane is demonstrated at a 1.6 Gbps data transmission. / text