Theory And Applications Of Non Integer Order Systems PDF Books

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Advances In The Theory And Applications Of Non Integer Order Systems

Theory And Applications Of Non Integer Order Systems
Author: Wojciech Mitkowski
Publisher: Springer Science & Business Media
ISBN: 3319009338
Size: 17.75 MB
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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 the Theory and Applications of Non-integer Order Systems
Language: en
Pages: 325
Authors: Wojciech Mitkowski, Janusz Kacprzyk, Jerzy Baranowski
Categories: Technology & Engineering
Type: BOOK - Published: 2013-06-03 - Publisher: Springer Science & Business Media
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
Theory and Applications of Non-integer Order Systems
Language: en
Pages: 512
Authors: Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski
Categories: Technology & Engineering
Type: BOOK - Published: 2016-09-15 - Publisher: Springer
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
Non-Integer Order Calculus and its Applications
Language: en
Pages: 229
Authors: Piotr Ostalczyk, Dominik Sankowski, Jacek Nowakowski
Categories: Technology & Engineering
Type: BOOK - Published: 2018-03-22 - Publisher: Springer
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
Advances in Non-Integer Order Calculus and Its Applications
Language: en
Pages: 307
Authors: Agnieszka B. Malinowska, Dorota Mozyrska, Łukasz Sajewski
Categories: Technology & Engineering
Type: BOOK - Published: 2019-04-17 - Publisher: Springer
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 •
Theoretical Developments and Applications of Non-Integer Order Systems
Language: en
Pages: 293
Authors: Stefan Domek, Paweł Dworak
Categories: Technology & Engineering
Type: BOOK - Published: 2015-08-20 - Publisher: Springer
This volume is devoted to presentation of new results of research on systems of non-integer order, called also fractional systems. Their analysis and practical implementation have been the object of spontaneous development for a few last decades. The fractional order models can depict a physical plant better than the classical
Fractional Order Systems--Control Theory and Applications
Language: en
Pages: 224
Authors: Omar Naifar
Categories: Control theory
Type: BOOK - Published: 2021 - Publisher: Springer Nature
This book aims to bring together the latest innovative knowledge, analysis, and synthesis of fractional control problems of nonlinear systems as well as some related applications. Fractional order systems (FOS) are dynamical systems that can be modelled by a fractional differential equation carried with a non-integer derivative. In the last
Advanced, Contemporary Control
Language: en
Pages: 1568
Authors: Andrzej Bartoszewicz, Jacek Kabziński, Janusz Kacprzyk
Categories: Technology & Engineering
Type: BOOK - Published: 2020-06-24 - Publisher: Springer Nature
This book presents the proceedings of the 20th Polish Control Conference. A triennial event that was first held in 1958, the conference successfully combines its long tradition with a modern approach to shed light on problems in control engineering, automation, robotics and a wide range of applications in these disciplines.
Fractional Calculus in Medical and Health Science
Language: en
Pages: 232
Authors: Devendra Kumar, Jagdev Singh
Categories: Technology & Engineering
Type: BOOK - Published: 2020-06-25 - Publisher: CRC Press
This book covers applications of fractional calculus used for medical and health science. It offers a collection of research articles built into chapters on classical and modern dynamical systems formulated by fractional differential equations describing human diseases and how to control them. The mathematical results included in the book will
Automatic Control, Robotics, and Information Processing
Language: en
Pages: 843
Authors: Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk
Categories: Technology & Engineering
Type: BOOK - Published: 2020-09-03 - Publisher: Springer Nature
This book presents a wide and comprehensive range of issues and problems in various fields of science and engineering, from both theoretical and applied perspectives. The desire to develop more effective and efficient tools and techniques for dealing with complex processes and systems has been a natural inspiration for the
Basic Theory
Language: en
Pages: 489
Authors: Anatoly Kochubei, Yuri Luchko
Categories: Mathematics
Type: BOOK - Published: 2019-02-19 - Publisher: Walter de Gruyter GmbH & Co KG
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other