The L2 gain of a nonlinear time-dependent system measures the maximal gain in the transfer of energy from admissible input signals to the output signals, in which both the input and output signals are measured with the L2 norm. For general nonlinear systems, obtaining a sharp estimate of the L2 gain is challenging both theoretically and numerically. In this thesis, we explore a computationally efficient way to obtain numerical estimations of L2 gains for systems with quadratic nonlinearity. The approach utilizes a recently developed method that solves a class of Hamilton-Jacobi-Bellman equations via a Taylor series-based approximation, which is scalable to high-dimensional problems given the utilization of linear tensor systems. The ideas are demonstrated through a few concrete examples that include a one-dimensional problem with an explicit energy function and several Galerkin approximations of the viscous Burgers equation. / Master of Science / With nonlinear systems that are of the form of input-output models, questions often arise as to how to measure the energy that passes through such systems and determine strategies to look for specific signals that allow the designer freedom to explore certain system behaviors. The energy comes in the form of a signal. For general nonlinear systems, obtaining a sharp estimate of such energy gain is challenging both theoretically and numerically. In this thesis, we explore a computationally efficient way to obtain numerical estimations of these gains for systems with quadratic nonlinearity. The approach combines fundamental theoretical understandings established in the literature with scalable software recently developed in approximating the solution of the underlying partial differential equation, called the Hamilton-Jacobi-Bellman (HJB) equation. In this approach, the energy gain is linked to a single scalar parameter in the HJB equation. Roughly speaking, the energy gain is the lower bound of this scalar parameter above which the HJB equation always admits a non-negative solution. Thus, it boils down to approximating the HJB solution using the software while changing this scalar parameter. We will present the theoretical foundation of the approach and illustrate the foundation through several academic examples ranging from low to relatively high dimensions.

An investigation of the pattern of structural change in a static input-output system is considered, when a series of operational optimizations are performed in one or more subsystems. Specifically, changes in the relative price of each commodity in an economy, along with their implications for the quantities associated, are analyzed. By operationally optimizing a sector, a production process is selected in such a way that the input requirements from other sectors in the economy do not exceed the current equilibrium level as specified by the input-output economy. When the new optimal process is substituted for the current equilibrium process, the input-output structure may be perturbed and a new equilibrium solution needs to be sought. For the multi-sectoral problems, the system would be considered stable if the necessity for the further perturbation ceases, while an equilibrium solution exists to the current input-output system. Three different price models are developed in trying to obtain a new stable system. Depending upon three distinct sets of economic reasons behind, these models are named as the acquisition, the consolidation, and the appreciation model. This study concludes that under all the normal circumstances, a static input-output system does reach a stable state, if the sectoral optimization is conducted through linear programming. This study also investigates the effects of operational optimization of sectors on the quantity side of the economy. / Master of Science

The main target of the thesis is analysing of short-term indirect cross-sectoral impacts of taxation of electricity, solid fuels and natural gas on particular sectors of NACE in the Czech Republic, especially impacts on production prices. The key instrument for the analysis is the short-term price model for the Czech Republic, created as a component of the thesis. A secondary target is focused on the analysis of direct impacts, especially impacts on prices and expenditures of particular sectors of NACE. Within the scope of the main target, there are five different variants of taxation. For each of them the impact of taxation of particular commodities on changes in production prices of particular sectors of NACE is simulated. Than two different variants, both of them including taxation of all commodities, are compared. The thesis includes also two hypotheses, which are going to be confirmed or disproved on the basis of obtained results. For achieving the main target the methodology of Leontief input -- output analysis was chosen (Leontief, 1966). This is the key instrument for creating short-term price model for the Czech Republic. This method is suitable especially for analysing short-term cross-sectoral impacts, however under necessary condition of no changes in current technologies, agreements and cross-sectoral relations. This condition represents strict limitation for the price model created for the thesis. Regarding scientific contribution, the main asset of this thesis is creation of macroeconomic short-term price model for the Czech Republic, which is based on methodology of Leontief input -- output analysis. The additional contribution is calculation of the short-term impacts of new environmental taxation on production prices of particular sectors of NACE. Considering available information, environmental taxes in the Czech Republic have not been analysed by Leontief input - output methodology yet. There is not also sufficient analysis of environmental taxes impacts on particular sectors of NACE in the Czech Republic. The thesis is divided to seven chapters. The first chapter focuses on introduction to environmental tax regulation issue. The second chapter presents theories and concepts of taxation impact analysis. The third chapter focuses on models and empirical research in environmental taxation area. The fourth chapter is dealing with basic practical aspects of introduction of new energy taxation in the Czech republic and presents data useful for the following analysis. The fifth chapter consists of describing of applied methodology and describing of creation of the price model. The sixth chapter summarises results of simulation of direct impact of taxation on average prices for companies and on expenditures of particular sectors of NACE. The seventh chapter presents results of cross-sectoral analysis of indirect macroeconomic impacts for all variants; the chapter includes also testing of hypotheses and comments of final results.

The primary purpose of this dissertation is to analyze the supply and demand of energy in China by utilizing an input-output-analysis. The energy input-output table used in this dissertation was combined with other data from the Energy Statistics Yearbook of China to draw up a hybrid-unit input-output table diagram and its simulation analysis. According to the data, the shortage in China¡¦s electric-producing sector in 1997 had the strongest impact on the total output of China¡¦s economy. Over the years, electric producers have been gradually playing a vital role as China¡¦s main energy source. The analysis also pointed out that China¡¦s energy industry was insignificant prior to 1997, mainly due to government price regulation. This dissertation is therefore expected to identify a new path in the study of energy demand and supply in China.

This thesis is a resource document for computer information that is not presently available as a single unit. It describes most of the commonly available computer peripherals and some not-so-common ones from the micro, mini, and mainframe computer worlds. Physical descriptions, methods of operation, trouble shooting, maintenance, and some schematics and future trends are covered. A few older devices having historical significance are also discussed.By knowing where the computer industry is currently and seeing where it has been hardware-wise, it should be possible to project the direction in which the computer industry is headed. People in the computer profession and people that use computers need to be educated about peripheral devices so that they may make informed decisions on which equipment to acquire and in planning for the future. This thesis should be a valuable aid in this process. The information presented should save time and money during the decision-making process and lead to more effective choices of equipment. / Department of Computer Science

The aim of the thesis is to present the process connected with the identification of industrial clusters and to point out possible methods and instruments that are useable by such identification. The target is not only focussed on description of these methods but also on consideration that the methods are likewise useful in regions of Czech Republic, especially taken into account the existing offer of regional data. The diplom thesis consists of three parts. The first part represents theoretical introduction to clusters' problem. The second part, also the theoretical one, deals widely with quantitative and qualitative methods and with procedures and clasification that belong to these methods. The third part applies the theoretical knowledge into practices. The comparison methods are used in the theoretical part and the methods of analysis, synthesis, comparison and induction are used in the practical part. The diplom thesis brings a quantitative extension of methods that have been used so far when identifying the industrial clusters in Czech Republic. Due to the present trend of prefering the qualitative methods, the extension of quantitative methods could be seen as a retrograde act. But the conditions of Czech Republic tourned out that, in fact, it is a suitable extension of statistical instruments.

This diploma thesis discusses utilization of dynamic Input-Output models as a basis for decision-making for policy makers. The first part is focused on theoretical derivation of the basic dynamic models. This part is followed by a practical application of the presented models, which proposes a method of deriving the matrix of capital and it facilitates the construction of data sources. The results show that the dynamic models are usable, but it is necessary to take into consideration their structural constraints and data limits. Data applied for 2009 show that the economic crisis has led to a 6% decline in GVA growth rates.

The main target of the thesis is analysing of short-term indirect cross-sectoral impacts of taxation of electricity, solid fuels and natural gas on particular sectors of NACE in the Czech Republic, especially impacts on production prices. The key instrument for the analysis is the short-term price model for the Czech Republic, created as a component of the thesis. A secondary target is focused on the analysis of direct impacts, especially impacts on prices and expenditures of particular sectors of NACE. Within the scope of the main target, there are five different variants of taxation. For each of them the impact of taxation of particular commodities on changes in production prices of particular sectors of NACE is simulated. Than two different variants, both of them including taxation of all commodities, are compared. The thesis includes also two hypotheses, which are going to be confirmed or disproved on the basis of obtained results. For achieving the main target the methodology of Leontief input – output analysis was chosen (Leontief, 1966). This is the key instrument for creating short-term price model for the Czech Republic. This method is suitable especially for analysing short-term cross-sectoral impacts, however under necessary condition of no changes in current technologies, agreements and cross-sectoral relations. This condition represents strict limitation for the price model created for the thesis. Regarding scientific contribution, the main asset of this thesis is creation of macroeconomic short-term price model for the Czech Republic, which is based on methodology of Leontief input – output analysis. The additional contribution is calculation of the short-term impacts of new environmental taxation on production prices of particular sectors of NACE. Considering available information, environmental taxes in the Czech Republic have not been analysed by Leontief input - output methodology yet. There is not also sufficient analysis of environmental taxes impacts on particular sectors of NACE in the Czech Republic. The thesis is divided to seven chapters. The first chapter focuses on introduction to environmental tax regulation issue. The second chapter presents theories and concepts of taxation impact analysis. The third chapter focuses on models and empirical research in environmental taxation area. The fourth chapter is dealing with basic practical aspects of introduction of new energy taxation in the Czech republic and presents data useful for the following analysis. The fifth chapter consists of describing of applied methodology and describing of creation of the price model. The sixth chapter summarises results of simulation of direct impact of taxation on average prices for companies and on expenditures of particular sectors of NACE. The seventh chapter presents results of cross-sectoral analysis of indirect macroeconomic impacts for all variants; the chapter includes also testing of hypotheses and comments of final results.

The thesis describes hardware and software of Control system for cleaning station CIP used for cleaning of milk processing equipment. The description of hardware contains definitions and number of PLC modules for PLC Simatic S7-300. The software part contains programs for PLC, SCADA software for WinCC flexible 2005 and the description of the computer's model.

Th.--Écon.--Rennes 1, 1977.