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Local control based on chosen symmetries of carnot group
Frolík, Stanislav ; Galaev, Anton (referee) ; Zelenko, Igor (referee) ; Hrdina, Jaroslav (advisor)
Práce se zabývá analýzou geometrické teorie řízení na konkrétních Carnotových grupách. K ilustraci studovaného aparátu jsme zkontruovali novou třídu mechanismů, které jsme nazvali robotický červ. Tyto mechanismy přináší novou třídu kontrolních problémů neholonomní mechaniky. V práci budeme analyzovat konkrétní mechanismus, dvoučlánkového robotického červa. Můžeme uvažovat, že řízení tohoto mechanismu je dáno Carnotovou grupou s filtrací (4,6). K řešení optimálního problému vytvoříme nový návrh řízení. Naše metoda je založena na volbě dodatečné geometrické struktury na algebře řízení, hlavně využíváme CR strukturu. Pak můžeme volit počáteční třídu geodetik, kterou rozšíříme na celý konfigurační prostor.
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Privacy-Enhancing Technologies and Privacy-Enhancing Cryptography for Wearables
Casanova-Marqués, Raúl ; Pendo,, Cristiano Gonçalves (referee) ; PhD, Lukasz Michal Chmielewski, (referee) ; Hajný, Jan (advisor)
The increasing concern surrounding privacy and the safeguarding of digital identities has emphasized the pressing necessity of establishing secure and confidential communication channels. This concern has led to the development of cryptographic mechanisms aimed at facilitating impervious information exchange. Nevertheless, traditional cryptographic approaches are proving insufficient in dynamic and resource-constrained environments, such as wearable devices. As a result, attribute-based credential schemes have emerged as a promising solution, offering fine-grained access control to digital services based on user-specific attributes. This doctoral thesis examines the efficacy and scalability of attribute-based anonymous credential schemes in ensuring the authenticity and security of users within dynamic architectures of wearable devices. It also explores enhancements to these schemes, with a primary focus on incorporating user revocation while maintaining privacy. Additionally, the thesis presents devised mechanisms to enable attribute-based authentication protocols on smart cards with limited support for elliptic curve cryptography. It addresses specific challenges associated with the usability of smart cards. Moreover, the thesis investigates the integration of anonymous authentication schemes in collaborative indoor positioning systems, aiming to provide privacy and security. Lastly, it explores the implementation of attribute-based authentication schemes in resource-constrained environments, with an emphasis on Internet of Things devices, and evaluates their feasibility within the dynamic architectures of wearable devices. The first contribution of this thesis introduces a purposefully designed protocol for anonymous authentication on smart cards. This protocol combines attribute-based credentials and user revocation while ensuring computational efficiency. To facilitate effective implementation and evaluation, the thesis employs smart cards equipped with the MULTOS operating system. The second contribution focuses on optimizing the capabilities of smart cards using Java Card technology for the implementation of attribute-based credential schemes. These smart cards are presented as a more accessible alternative for a wider consumer base. To overcome limitations in their application programming interface, the thesis devises strategies to augment the constrained support for elliptic curve cryptography and effectively implement such schemes. The third contribution presents the Privacy-Enhancing Authentication System, a robust solution compatible with smart cards, smartphones, and smartwatches. This system addresses the functional challenges associated with smart cards, including the absence of a graphical interface and limited user control over attribute disclosure. Consequently, it offers a practical and deployable solution for real-world scenarios. Finally, the thesis proposes a groundbreaking scheme to safeguard collaborative indoor positioning systems by addressing both privacy and security concerns. This scheme ensures the preservation of privacy and security by eliminating centralized architectures and employing encryption techniques for positioning information. The thesis includes comprehensive details such as protocol use cases, implementation specifics, execution benchmarks, and a comparative analysis with existing protocols.
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High order numerical method in modelling and control systems
Veigend, Petr ; Horák, David (referee) ; Schirrer, Alexander (referee) ; Šátek, Václav (advisor)
Systémy pro řízení a regulaci jsou používány téměř ve všech průmyslových oblastech. Pro jejich modelování se často používají diferenciální rovnice, které popisují dynamické chování těchto systémů a umožňují je detailněji analyzovat z hlediska přesnosti, stability, výkonu a reakcí těchto systémů v reálném čase. V této oblasti se běžně nepoužívají metody vyšších řádů, protože vykonávají velké množství operací. Tato práce zkoumá numerické řešení obyčejných diferenciálních rovnic s použitím metody s proměnným řádem a proměnnou velikostí kroku, která je založena na Taylorově řadě. Metoda je navržena jak pro lineární, tak pro nelineární problémy a jsou implementovány její optimalizace pro snížení výpočetního času bez degradace jejích vlastností. Pozitivní vlastnosti metody jsou demonstrovány na sadě příkladů z technické praxe. Výsledky práce ukazují, že metoda založena na Taylorově řadě může být použita v oblasti řízení a regulace a má lepší vlastnosti než běžně používané metody.
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Analysis and Verification of Operating Characteristics of Grid and Hybrid Inverters
Vrána, Michal ; Braciník,, Peter (referee) ; Dvorský, Emil (referee) ; Mastný, Petr (advisor)
The thesis is an annotated collection of articles focused on the field of verification of inverter operating characteristics and their impact on the operation of the distribution system. The operating characteristics are assessed with respect to the national requirements in the Czech Republic. Within the framework of the solution, articles were published in foreign impacted and peer-reviewed journals and indexed proceedings of foreign and domestic conferences. The main result of the dissertation is the design and implementation of a laboratory workplace for verification of operating characteristics. For the workstation, software equipment was designed and implemented for testing process automation of both, the physical workstation and the virtual testing. By reconfiguring the workstation, it is possible to create a facility for simulating and verifying the effect of autonomous functions on the distribution system within the framework of experimental installation in laboratory conditions or field testing.
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Use of information technology in research-oriented teaching of probability and statistics
KOPECKÝ, Jiří
This dissertation focuses on the integration of random set simulations into the teaching of probability and statistics in high schools using an inquiry-based approach. The aim is to determine whether such integration can contribute to changing the perception of these subjects among high school students. The research question is: "How does the use of random set simulations in research-oriented teaching affect the perceptions and attitudes of grammar school students towards the subjects of probability and statistics?" The study involved an analysis of the responses of 52 respondents from the control and experimental groups who completed semantic differential questionnaires. The 110 t-tests conducted showed that there were statistically significant differences in the responses of the two groups in the perceptions within the semantic space of students for probability as faster and more varied and for statistics as more useful. In the didactic reconstruction of the content for the secondary level, learning objectives were set at three levels of sophistication. The results showed that more than half of the high school students were able to create simulations of random sets with clusters or regular sets and to detect and eliminate the most common errors. Research suggests that incorporating random set simulations into the classroom can be an effective tool for improving understanding and increasing interest in probability and statistics. Moreover, this method supports the development of digital competences and programming skills, which are increasingly important in today's educational environment. The work also shows that random set simulations can help high school students to better understand the basic concepts of statistics and probability, which is important in the context of their growing importance in the modern world.
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Problems of solving systems of polynomial equations in mathematics teaching
KÖNIGSMARKOVÁ, Soňa
The aim of this thesis is to map the current state of teaching and student problem solving strategies for polynomial equations. A substantial part of the work is devoted to the use of these systems of equations in solving problems of the loci of a given property at different types of schools. On this basis, where warranted, suggestions are made for enriching teaching in this area with methods reflecting current trends in the use of systems of computer algebra. Considering the above objectives, the author focuses on the current state of teaching systems of polynomial equations in terms of the methods of solution used at primary schools, secondary schools and faculties preparing teachers of mathematics. The author does not neglect the solution of more complex problems, especially problems of the loci of a given property, by future mathematics teachers. The potential of computer algebra systems for improving the current state is also mentioned. The thesis is divided into 9 chapters, with the first four chapters justifying the topicality of the topic. The historical development of the solution of problems on systems of equations and especially the current state of the subject from the point of view of the position of the curriculum and the occurrence of relevant problems in textbooks, entrance and final exams and in the Mathematical Olympiad are presented. Considering the topic of the thesis, examples of solving problems by elementary methods and methods based on the theory of Gröbner bases and the use of computer technology are given. The fifth chapter defines the objectives of the thesis. The next three chapters are devoted to the actual research at secondary and higher education institutions, which deals with the solution of systems of polynomial equations and the solution of problems of loci of a given property in terms of the choice of solution methods and the occurrence of errors in their use.The final chapter summarizes the research results and gives some recommendations for secondary school teaching and for the preparation of future mathematics teachers. Appendices contain an original and research-based draft of teaching material on methods of solving systems of polynomial equations and solving problems on sets of points given characteristics for gifted secondary school students and university teaching students.
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Synthesis of photoactive derivatives of phthalocyanines and study of their biological activity
Rychvalská, Lucia ; Zimčík, Petr (advisor) ; Vícha, Robert (referee) ; Zitko, Jan (referee)
Charles University, Faculty of Pharmacy in Hradec Králové Department: Department of Pharmaceutical Chemistry and Pharmaceutical Analysis Author: Mgr. Lucia Rychvalská Supervisor: prof. PharmDr. Petr Zimčík, PhD. Doctoral Thesis: Synthesis of photoactive derivatives of phthalocyanines and study of their biological activity Phthalocyanines (Pc) are macrocyclic compounds with conjugated system of double bonds with absorption maximum around 650 - 750 nm. They are characterized by high singlet oxygen production which makes them suitable candidates for photosensitizers in photodynamic therapy. However, they form inactive aggregates in water environment because of their planar hydrophobic aromatic core. There are many strategies to solve this problem, and this thesis is focused on fighting aggregation of Pc by their supramolecular interactions with cucurbiturils (CB). Subphthalocyanines (SubPc) are similar macrocyclic compounds composed of only three (instead of four) isoindol units with boron as a central atom, which has also axial substituent. Because of their cone-shape and axial substituent they are less aggregated in water but usually not very soluble, which could also be solved by interaction with CB. First part of this thesis was focused on synthesis of Pc with aminoadamantyl substituents on...
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Comparison of the development of the Czech and Polish ballet scene in the years 1945 - 1970
Felcan Rajlová, Lucie ; Pešek, Jiří (advisor) ; Kocian, Jiří (referee) ; Daněk, Petr (referee)
This dissertation delves into the fascinating world of ballet, one of the most expressive and fantastic artistic disciplines. Its primary focus is to analyse and compare the development of the Czech and Polish ballet scene between 1945 and 1970 in order to shed light on certain key phases and issues, such as the emancipation and recognition of ballet as a specific artistic discipline. The dissertation also focuses on the career paths of ballet dancers, examining the advantages and disadvantages associated with this career, including financial reward. The structure of the thesis is divided into seven key chapters (source evaluation, methodological section, five thematic chapters), supplemented by an introduction, conclusion, lists and appendices. The first chapter focuses on significant changes in the interwar period, which are considered essential for understanding the development of the post-war ballet scene in Czechoslovakia and Poland. The chapter also focuses on the personalities whose legacy influenced subsequent generations of ballet artists. A separate chapter is devoted to dance education at three levels, exploring the causes and consequences of differences with potential implications for future developments. This section is closely linked to another section focusing on the expansion of...
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Cenomanian vegetation of the Bohemian Cretaceous Basin
Čepičková, Jana ; Kvaček, Jiří (advisor) ; Teodoridis, Vasilis (referee) ; Spicer, Robert A. (referee)
Cenomanian plant fossils from the Peruc-Korycany Formation of the Bohemian Cretaceous Basin, Czech Republic are described, analysed and their palaeoenvironment is interpreted. Cycad foliage Nilssonia mirovanae Čepičková et J.Kvaček including micromorphology of its cuticle was described. It shows deeply sunken stomatal apparati surrounded by papillae overhanging the stomatal pit. The haplocheilic stomata are arranged in rows. Todziaphyllum saportanum (Velen.) Čepičková et J.Kvaček is a serrate-margined leaf with semicraspedodromous venation. Since the cuticle of this plant fossil has not been preserved, macro-observation is the only method available. Ascarinophyllum pecinovense Čepičková et J.Kvaček is a serrate-margined leaf, having an abaxial cuticle covered by striations, randomly oriented, and radially oriented striations around the stomata. This species shows a combination of laterocytic/laterocyclocytic, stephanocytic-bicyclic, amphibrachyparacytic, less frequently brachyparacytic and holoparacytic stomata, sometimes with T-shaped thickenings of the internal cuticle at the poles. Papillaephyllum labutae Čepičková et J.Kvaček is characterised by leaves with serrate margins. It shows an abaxial cuticle covered by large papillae. Its stomatal apparatus shows a combination of latero-cyclocytic and...
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Early Modern Age Bohemian Lands and the Area of the ContemporaryRomania at the Turn of the 17th Century
Chalupová, Helena ; Vlnas, Vít (advisor) ; Hojda, Zdeněk (referee) ; Ryantová, Marie (referee)
The dissertation deals with one of the specifics of the history of the Bohemia lands in the early modern period - the conflicts between the Habsburg monarchy and the Ottoman Empire. The aim of the thesis is to create a comprehensive view of the changing relations between the Bohemian lands during the reign of Emperor Rudolph II and the countries which, during the periods of Turkish expansion into Europe, constituted a kind of barrier between the Habsburg and Ottoman empires, i.e. Transylvania, Wallachia and Moldavia. The research topic is narrowed down to the period of the so-called Long Turkish War (1591-1606) and the subsequent period until 1613 (the death of the princes of Transylvania, Sigismund Báthory and Gabriel Báthory). 1613 is thus seen as the final landmark. The dissertation consists of three parts: 1) A brief theoretical introduction. 2) In the second part, the development of political, economic, and cultural relations between the Habsburgs and the rulers of the above-mentioned countries is depicted. 3) Interpretation so-called the second life these historical events in the Romanian and Czech historiography in the culture of both these nations. Keywords Transylvania; Wallachia; Moldavia; Bohemia lands; Early Modern; Long Turkish War Sigismund Bathory; Michael the Brave
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