Fractional Calculus: Application in modeling and control

This contribution introduces the fractional calculus (FC) fundamental mathematical aspects and discuses some of their consequences. Based on the FC concepts, the chapter reviews the main approaches for implementing fractional operators and discusses the adoption of FC in control systems. Finally are presented some applications in the areas of modeling and control, namely fractional PID, heat diffusion systems, electromagnetism, fractional electrical impedances, evolutionary algorithms, robotics, and nonlinear system control.

Analysis of Electricity Market Prices Using Multidimensional Scaling

This paper studies the impact of the energy upon electricity markets using Multidimensional Scaling (MDS). Data from major energy and electricity markets is considered. Several maps produced by MDS are presented and discussed revealing that this method is useful for understanding the correlation between them. Furthermore, the results help electricity markets agents hedging against Market Clearing Price (MCP) volatility.

Casualties distribution in human and natural hazards

Catastrophic events, such as wars and terrorist attacks, big tornadoes and hurricanes, huge earthquakes, tsunamis, floods, and landslides, are always accompanied by a large number of casualties. The size distribution of these casualties have separately been shown to follow approximate power law (PL) distributions. In this paper, we analyze the number of victims of catastrophic phenomena, in particular, terrorism, and find double PL behavior. This means that the data set is better approximated by two PLs instead of one. We have plotted the two PL parameters corresponding to all terrorist events occurred in every year, from 1980 to 2010. We observe an interesting pattern in the chart, where the lines, that connect each pair of points defining the double PLs, are roughly aligned to each other.

Multidimensional Scaling Analysis of Stock Market Indexes

This paper applies multidimensional scaling techniques and Fourier transform for visualizing possible time-varying correlations between 25 stock market values. The method is useful for observing clusters of stock markets with similar behavior.

Modeling and Control of a Dragonfly-Like Robot

Dragonflies demonstrate unique and superior flight performances than most of the other insect species and birds. They are equipped with two pairs of independently controlled wings granting an unmatchable flying performance and robustness. In this paper it is studied the dynamics of a dragonfly-inspired robot. The system performance is analyzed in terms of time response and robustness. The development of computational simulation based on the dynamics of the robotic dragonfly allows the test of different control algorithms. We study different movement, the dynamics and the level of dexterity in wing motion of the dragonfly. The results are positive for the construction of flying platforms that effectively mimic the kinematics and dynamics of dragonflies and potentially exhibit superior flight performance than existing flying platforms.

Control and Dynamics of Fractional Order Systems

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades due to the progress in the area of nonlinear dynamics. This article discusses several applications of fractional calculus in science and engineering, namely: the control of heat systems, the tuning of PID controllers based on fractional calculus concepts and the dynamics in hexapod locomotion.

Electrical Skin Phenomena: A Fractional Calculus Analysis

The internal impedance of a wire is the function of the frequency. In a conductor, where the conductivity is sufficiently high, the displacement current density can be neglected. In this case, the conduction current density is given by the product of the electric field and the conductance. One of the aspects the high-frequency effects is the skin effect (SE). The fundamental problem with SE is it attenuates the higher frequency components of a signal. The SE was first verified by Kelvin in 1887. Since then many researchers developed work on the subject and presently a comprehensive physical model, based on the Maxwell equations, is well established. The Maxwell formalism plays a fundamental role in the electromagnetic theory. These equations lead to the derivation of mathematical descriptions useful in many applications in physics and engineering. Maxwell is generally regarded as the 19th century scientist who had the greatest influence on 20th century physics, making contributions to the fundamental models of nature. The Maxwell equations involve only the integer-order calculus and, therefore, it is natural that the resulting classical models adopted in electrical engineering reflect this perspective. Recently, a closer look of some phenomas present in electrical systems and the motivation towards the development of precise models, seem to point out the requirement for a fractional calculus approach. Bearing these ideas in mind, in this study we address the SE and we re-evaluate the results demonstrating its fractional-order nature.

A Fractional Calculus Perspective in the Evolutionary Design of Combinational Circuits

This paper analyses the performance of a genetic algorithm (GA) in the synthesis of digital circuits using two novel approaches. The first concept consists in improving the static fitness function by including a discontinuity evaluation. The measure of variability in the error of the Boolean table has similarities with the function continuity issue in classical calculus. The second concept extends the static fitness by introducing a fractional-order dynamical evaluation.

Differences in internet and LMS usage: a case study in higher education

The Internet plays an important role in higher education institutions where Learning Management Systems (LMS) occupies a main role in the eLearning realm. In this chapter we aim to characterize the Internet and LMS usage patterns and their role in the largest Portuguese Polytechnic Institute. The usage patterns were analyzed in two components: characterization of Internet usage and the role of Internet and LMS in education. Using a quantitative approach, the data analysis describes the differences between gender, age and scientific fields. The carried qualitative analysis allows a better understanding of students’ both motivations, opinions and suggestions of improvement. The outcome of this work is the presentation of the Portuguese students’ profile regarding Internet and LMS usage patterns. We expect that these results can be used to select the most suitable digital pedagogical processes and tools to be adopted regarding the learning process and most adequate LMS’s policies.

Teaching accounting and management through business simulation

Everyday accounting and management teachers face the challenge of creating learning environments that motivate students. This chapter describes the Business Simulation (BS) experience that has taken place at the Polytechnic Institute of Porto, Institute of Accounting and Administration (IPP/ISCAP). The chapter presents students’ perceptions about the course and the teaching/learning approach. The results show that pedagogical methods used (competency-oriented), generic competencies (cooperation and group work), and interpersonal skills (organisational and communication skills) are relevant for future accounting professionals. In addition, positive remarks and possible constraints based on observation, staff meetings, and past research are reported. The chapter concludes with some recommendations from the project implementation

Social entrepreneurship

The purpose of this chapter is to contribute to a better understanding of the link between social entrepreneurship and institutional environment in Portugal. A quantitative approach is used in the study, with primary data collected through an online survey. A questionnaire was emailed to both Portuguese Non-Governmental Organizations and projects available on the Portuguese Social Stock Exchange. In the analysis of the data, we used descriptive statistics, factorial analysis and t-student tests in an attempt to validate the research hypotheses. The results show that a favorable institutional environment has low importance in the decision to develop social entrepreneurial initiatives. This conclusion supports the idea that many social entrepreneurs can emerge even in developing regions where the institutional environment is weak. Therefore,social entrepreneurship could be an instrument of regional development and contribute to attenuating the social and economic differences among Portuguese regions.

Ex-ante evaluation by the media of the Guimarães 2012 European Capital of Culture

The nomination of Guimarães to host the 2012 European Capital of Culture (ECC) has put on the agenda of the city the need of measuring the effects that the implementation of this mega event could have in it and in the municipality a whole. The balance of the benefits and costs and an extended community involvement tend to reduce negative impacts and enhance positive ones. This chapter analyzes the involvement of population and local associations in the planning and organization of the 2012 Guimarães European Capital of Culture, using the coverage made during 2011 by local and national press of the mega event. A content analysis of the news published covering the period between January and December 2011 and using three newspapers was conducted. From those, two were local and weekly newspapers and one was a national daily one. Looking to data results, it can be concluded that it was poor the community involvement and, also, the one of the cultural associations in the organizations of the 2012 ECC. A strong negative reaction to the model choose to plan the mega event conducted by official organizers was found, which has cast doubts on the desirable participation of the residents and, consequently, on the success of the mega event, especially in a perspective of a medium and long term effects.

Marine Cyanobacteria Compounds with Anticancer Properties: Implication of Apoptosis

Marine cyanobacteria have been proved to be an important source of potential anticancer drugs. Although several compounds were found to be cytotoxic to cancer cells in culture, the pathways by which cells are affected are still poorly elucidated. For some compounds, cancer cell death was attributed to an implication of apoptosis through morphological apoptotic features, implication of caspases and proteins of the Bcl-2 family, and other mechanisms such as interference with microtubules dynamics, cell cycle arrest and inhibition of proteases other than caspases.

Estágio Curricular na Empresa Steelgreen S.A.

O presente relatório visa documentar a aplicação das competências adquiridas academicamente em ambiente empresarial, sob a forma de estágio curricular que decorreu na Steelgreen, S.A., que surgiu de uma parceria entre o Grupo Domingos Da Silva Teixeira (DST) e Ferlito – Ferros do Litoral, S.A.. O tema predominante deste documento será o aço, uma vez que a empresa se dedica ao corte e moldagem de armaduras. Inicialmente, será efetuada uma breve apresentação da empresa, descrevendo a sua metodologia de trabalho, pormenorizando-se todos os procedimentos executados desde a receção da matéria-prima até à sua expedição. O estágio curricular decorreu principalmente no âmbito do Departamento de Produção. Assim, neste documento enquadrar-se-á a principal atividade a cargo deste: a produção industrial. Serão explicados todos os procedimentos executados durante o processo de conceção das encomendas. A comercialização do aço requer que uma série de requisitos legais sejam cumpridos. Um capítulo deste documento será dedicado ao enquadramento desta matéria-prima na legislação em vigor. Para finalizar, serão descritos todos os trabalhos solicitados no decorrer do estágio curricular, expondo todos os procedimentos executados para atingir o objetivo proposto.

Exergames - Jogos Sérios para Promover o Exercício Físico

As novas tecnologias, em particular os meios de entretimento digital, oferecem diferentes soluções de interação para que as pessoas se possam divertir. O elevado (e crescente) número de jogos digitais disponíveis no mercado permitiu o aparecimento de um novo tipo de jogos digitais, os jogos sérios, com uma finalidade menos lúdica. O intuito desses jogos é usar as caraterísticas associadas aos jogos normais, mas direcioná-los para uma finalidade séria. Assim, além de divertir o utilizador estes jogos também possibilitam a transmissão de informação e conhecimento que de outra forma não teria o mesmo impacto, por falta de interesse e menor motivação dos utilizadores. Exergames são jogos digitais utilizados para o desenvolvimento pessoal como o propósito de melhorar o bem-estar das pessoas quer a nível físico quer a nível mental. Esses jogos requerem que partes do corpo estejam em constante movimento, sendo que alguns utilizam dispositivos de rastreio de movimentos do corpo como forma de interação com os sistemas. Os exergames são o foco desta tese, com uma análise das suas potencialidades e das diferentes áreas possíveis para a sua aplicabilidade. São analisados diferentes tipos de exergames consoante o dispositivo que irá permitir a utilização do jogo. Também são estudados algumas ferramentas externas que possibilitam a interação de aplicações móveis com equipamentos de exercício físico específicos. A componente prática da tese contempla a criação de um exergame para dispositivos móveis com o intuito de incentivar as pessoas para a prática de corridas de forma regular, para que possam ter um estilo de vida ativo e que contribui de forma direta para o bem-estar deles. Os testes realizados junto a um conjunto de pessoas conduziram a resultados positivos quer do jogo desenvolvido quer da utilidade deste tipo de jogos no desenvolvimento físico, o que permite afirmar que os exergames devido ao seu carácter sério, mas nunca deixando de parte a diversão e a interatividade, são motivadores extras para as pessoas praticarem exercício físico.