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Advances in the Theory and Applications of Non-integer Order Systems

2013-06-03 Technology & Engineering
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Release : 2013-06-03
Genre : Technology & Engineering
Kind : eBook
Book Rating : 338/5 ( reviews)

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Book Synopsis Advances in the Theory and Applications of Non-integer Order Systems by : Wojciech Mitkowski

Download or read book Advances in the Theory and Applications of Non-integer Order Systems written by Wojciech Mitkowski. This book was released on 2013-06-03. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents various aspects of non-integer order systems, also known as fractional systems, which have recently attracted an increasing attention in the scientific community of systems science, applied mathematics, control theory. Non-integer systems have become relevant for many fields of science and technology exemplified by the modeling of signal transmission, electric noise, dielectric polarization, heat transfer, electrochemical reactions, thermal processes, acoustics, etc. The content is divided into six parts, every of which considers one of the currently relevant problems. In the first part the Realization problem is discussed, with a special focus on positive systems. The second part considers stability of certain classes of non-integer order systems with and without delays. The third part is focused on such important aspects as controllability, observability and optimization especially in discrete time. The fourth part is focused on distributed systems where non-integer calculus leads to new and interesting results. The next part considers problems of solutions and approximations of non-integer order equations and systems. The final and most extensive part is devoted to applications. Problems from mechatronics, biomedical engineering, robotics and others are all analyzed and solved with tools from fractional systems. This volume came to fruition thanks to high level of talks and interesting discussions at RRNR 2013 - 5th Conference on Non-integer Order Calculus and its Applications that took place at AGH University of Science and Technology in Kraków, Poland, which was organized by the Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering.

Advances in Non-Integer Order Calculus and Its Applications

2019-04-17 Technology & Engineering
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Release : 2019-04-17
Genre : Technology & Engineering
Kind : eBook
Book Rating : 445/5 ( reviews)

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Book Synopsis Advances in Non-Integer Order Calculus and Its Applications by : Agnieszka B. Malinowska

Download or read book Advances in Non-Integer Order Calculus and Its Applications written by Agnieszka B. Malinowska. This book was released on 2019-04-17. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of some recent findings in the theory and applications of non-integer order systems. Discussing topics ranging from the mathematical foundations to technical applications of continuous-time and discrete-time fractional calculus, it includes 22 original research papers and is subdivided into four parts: • Mathematical Foundations • Approximation, Modeling and Simulations • Fractional Systems Analysis and Control • Applications The papers were selected from those presented at the 10th International Conference of Non-integer Order Calculus and its Applications, which was held at the Bialystok University of Technology, Poland, September 20–21, 2018. Thanks to the broad spectrum of topics covered, the book is suitable for researchers from applied mathematics and engineering. It is also a valuable resource for graduate students, as well as for scholars looking for new mathematical tools.

Non-Integer Order Calculus and its Applications

2018-03-22 Technology & Engineering
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Release : 2018-03-22
Genre : Technology & Engineering
Kind : eBook
Book Rating : 587/5 ( reviews)

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Book Synopsis Non-Integer Order Calculus and its Applications by : Piotr Ostalczyk

Download or read book Non-Integer Order Calculus and its Applications written by Piotr Ostalczyk. This book was released on 2018-03-22. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on fractional calculus, presenting novel advances in both the theory and applications of non-integer order systems. At the end of the twentieth century it was predicted that it would be the calculus of the twenty-first century, and that prophecy is confirmed year after year. Now this mathematical tool is successfully used in a variety of research areas, like engineering (e.g. electrical, mechanical, chemical), dynamical systems modeling, analysis and synthesis (e.g technical, biological, economical) as well as in multidisciplinary areas (e.g. biochemistry, electrochemistry).As well as the mathematical foundations the book concentrates on the technical applications of continuous-time and discrete-time fractional calculus, investigating the identification, analysis and control of electrical circuits and dynamical systems. It also presents the latest results.Although some scientific centers and scientists are skeptical and actively criticize the applicability of fractional calculus, it is worth breaking through the scientific and technological walls. Because the “fractional community” is growing rapidly there is a pressing need for the exchange of scientific results. The book includes papers presented at the 9th International Conference on Non-integer Order Calculus and Its Applications and is divided into three parts:• Mathematical foundations• Fractional systems analysis and synthesis• System modelingSeven papers discuss the mathematical foundations, twelve papers address fractional order analysis and synthesis and three focus on dynamical system modeling by the fractional order differential and difference equations. It is a useful resource for fractional calculus scientific community.

Advances in Modelling and Control of Non-integer-Order Systems

2014-08-16 Technology & Engineering
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Release : 2014-08-16
Genre : Technology & Engineering
Kind : eBook
Book Rating : 000/5 ( reviews)

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Book Synopsis Advances in Modelling and Control of Non-integer-Order Systems by : Krzysztof J. Latawiec

Download or read book Advances in Modelling and Control of Non-integer-Order Systems written by Krzysztof J. Latawiec. This book was released on 2014-08-16. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents selected aspects of non-integer, or fractional order systems, whose analysis, synthesis and applications have increasingly become a real challenge for various research communities, ranging from science to engineering. The spectrum of applications of the fractional order calculus has incredibly expanded, in fact it would be hard to find a science/engineering-related subject area where the fractional calculus had not been incorporated. The content of the fractional calculus is ranged from pure mathematics to engineering implementations and so is the content of this volume. The volume is subdivided into six parts, reflecting particular aspects of the fractional order calculus. The first part contains a single invited paper on a new formulation of fractional-order descriptor observers for fractional-order descriptor continous LTI systems. The second part provides new elements to the mathematical theory of fractional-order systems. In the third part of this volume, a bunch of new results in approximation, modeling and simulations of fractional-order systems is given. The fourth part presents new solutions to some problems in controllability and control of non-integer order systems, in particular fractional PID-like control. The fifth part analyzes the stability of non-integer order systems and some new results are offered in this important respect, in particular for discrete-time systems. The final, sixth part of this volume presents a spectrum of applications of the noninteger order calculus, ranging from bi-fractional filtering, in particular of electromyographic signals, through the thermal diffusion and advection diffusion processes to the SIEMENS platform implementation. This volume's papers were all subjected to stimulating comments and discussions from the active audience of the RRNR'2014, the 6th Conference on Non-integer Order Calculus and Its Applications that was organized by the Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland.

Theory and Applications of Non-integer Order Systems

2016-09-15 Technology & Engineering
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Release : 2016-09-15
Genre : Technology & Engineering
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Book Rating : 749/5 ( reviews)

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Book Synopsis Theory and Applications of Non-integer Order Systems by : Artur Babiarz

Download or read book Theory and Applications of Non-integer Order Systems written by Artur Babiarz. This book was released on 2016-09-15. Available in PDF, EPUB and Kindle. Book excerpt: This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016 brings together rigorously reviewed contributions from leading international experts. The included papers cover novel various important aspects of mathematical foundations of fractional calculus, modeling and control of fractional systems as well as controllability, detectability, observability and stability problems for this systems.

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