Fractional Order Electrical Circuit Theory

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Fractional-Order Electrical Circuit Theory

Bo Zhang,Xujian Shu
Fractional Order Electrical Circuit Theory Book PDF

Author : Bo Zhang,Xujian Shu
Publisher : Springer Nature
Page : 310 pages
File Size : 55,9 Mb
Release : 2021-08-16
Category : Technology & Engineering
ISBN : 9789811628221

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Fractional-Order Electrical Circuit Theory by Bo Zhang,Xujian Shu Pdf

This book presents a concise and insightful view of the knowledge on fractional-order electrical circuits, which belongs to the subject of Electric Engineering and involves mathematics of fractional calculus. It offers an overview of fractional calculus and then describes and analyzes the basic theories and properties of fractional-order elements and fractional-order electrical circuit composed of fractional-order elements. Therein, the fundamental theorems, time-domain analysis, steady-state analysis, complex frequency domain analysis and state variable analysis of fractional-order electrical circuit are included. The fractional-order two-port networks and generalized fractional-order linear electrical circuits are also mentioned. Therefore, this book provides readers with enough background and understanding to go deeper into the topic of fractional-order electrical circuit, so that it is useful as a textbook for courses related to fractional-order elements, fractional-order electrical circuits, etc. This book is intended for students without an extensive mathematical background and is suitable for advanced undergraduate and graduate students, engineers and researchers who focus on the fractional-order elements, electrical circuits and systems.

Fractional-Order Design

Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Fractional Order Design Book PDF

Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Publisher : Academic Press
Page : 550 pages
File Size : 46,8 Mb
Release : 2021-10-22
Category : Technology & Engineering
ISBN : 9780323902045

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Fractional-Order Design by Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said Pdf

Fractional-Order Design: Devices, Circuits, and Systems introduces applications from the design perspective so that the reader can learn about, and get ready to, design these applications. The book also includes the different techniques employed to comprehensively and straightforwardly design fractional-order systems/devices. Furthermore, a lot of mathematics is available in the literature for solving the fractional-order calculus for system application. However, a small portion is employed in the design of fractional-order systems. This book introduces the mathematics that has been employed explicitly for fractional-order systems. Students and scholars who wants to quickly understand the field of fractional-order systems and contribute to its different domains and applications will find this book a welcomed resource. Presents a simple and comprehensive understanding of the field of fractional-order systems Offers practical knowledge on the design of fractional-order systems for different applications Exposes users to the possible new areas of applications of fractional-order systems

Fractional Dynamical Systems: Methods, Algorithms and Applications

Piotr Kulczycki,Józef Korbicz,Janusz Kacprzyk
Fractional Dynamical Systems Methods Algorithms and Applications Book PDF

Author : Piotr Kulczycki,Józef Korbicz,Janusz Kacprzyk
Publisher : Springer Nature
Page : 398 pages
File Size : 46,9 Mb
Release : 2022-01-04
Category : Technology & Engineering
ISBN : 9783030899721

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Fractional Dynamical Systems: Methods, Algorithms and Applications by Piotr Kulczycki,Józef Korbicz,Janusz Kacprzyk Pdf

This book presents a wide and comprehensive spectrum of issues and problems related to fractional-order dynamical systems. It is meant to be a full-fledge, comprehensive presentation of many aspects related to the broadly perceived fractional-order dynamical systems which constitute an extension of the traditional integer-order-type descriptions. This implies far-reaching consequences, both analytic and algorithmic, because—in general—properties of the traditional integer-order systems cannot be directly extended by a straightforward generalization to fractional-order systems, modeled by fractional-order differential equations involving derivatives of an non-integer order. This can be useful for describing and analyzing, for instance, anomalies in the behavior of various systems, chaotic behavior, etc. The book contains both analytic contributions with state-of-the-art and theoretical foundations, algorithmic implementation of tools and techniques, and—finally—some examples of relevant and successful practical applications.

Fractional Order Systems

Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
Fractional Order Systems Book PDF

Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
Publisher : Academic Press
Page : 741 pages
File Size : 54,7 Mb
Release : 2018-08-16
Category : Technology & Engineering
ISBN : 9780128163085

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Fractional Order Systems by Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan Pdf

Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications consists of 21 contributed chapters by subject experts. Chapters offer practical solutions and novel methods for recent research problems in the multidisciplinary applications of fractional order systems, such as FPGA, circuits, memristors, control algorithms, photovoltaic systems, robot manipulators, oscillators, etc. This book is ideal for researchers working in the modeling and applications of both continuous-time and discrete-time dynamics and chaotic systems. Researchers from academia and industry who are working in research areas such as control engineering, electrical engineering, mechanical engineering, computer science, and information technology will find the book most informative. Discusses multi-disciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results Includes new circuits and systems based on the new nonlinear elements Covers most of the linear and nonlinear fractional-order theorems that will solve many scientific issues for researchers Closes the gap between theoretical approaches and real-world applications Provides MATLAB® and Simulink code for many of the applications in the book

Fractional Order Systems

Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Fractional Order Systems Book PDF

Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
Publisher : Academic Press
Page : 614 pages
File Size : 41,8 Mb
Release : 2021-10-13
Category : Technology & Engineering
ISBN : 9780128243343

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Fractional Order Systems by Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said Pdf

Fractional Order Systems: An Overview of Mathematics, Design, and Applications for Engineers introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems. Presents a simple and comprehensive understanding of the field of fractional-order systems Offers practical knowledge on the design of fractional-order systems for different applications Exposes users to possible new applications for fractional-order systems

Fractional Order Control and Synchronization of Chaotic Systems

Ahmad Taher Azar,Sundarapandian Vaidyanathan,Adel Ouannas
Fractional Order Control and Synchronization of Chaotic Systems Book PDF

Author : Ahmad Taher Azar,Sundarapandian Vaidyanathan,Adel Ouannas
Publisher : Springer
Page : 877 pages
File Size : 45,9 Mb
Release : 2017-02-27
Category : Technology & Engineering
ISBN : 9783319502496

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Fractional Order Control and Synchronization of Chaotic Systems by Ahmad Taher Azar,Sundarapandian Vaidyanathan,Adel Ouannas Pdf

The book reports on the latest advances in and applications of fractional order control and synchronization of chaotic systems, explaining the concepts involved in a clear, matter-of-fact style. It consists of 30 original contributions written by eminent scientists and active researchers in the field that address theories, methods and applications in a number of research areas related to fractional order control and synchronization of chaotic systems, such as: fractional chaotic systems, hyperchaotic systems, complex systems, fractional order discrete chaotic systems, chaos control, chaos synchronization, jerk circuits, fractional chaotic systems with hidden attractors, neural network, fuzzy logic controllers, behavioral modeling, robust and adaptive control, sliding mode control, different types of synchronization, circuit realization of chaotic systems, etc. In addition to providing readers extensive information on chaos fundamentals, fractional calculus, fractional differential equations, fractional control and stability, the book also discusses key applications of fractional order chaotic systems, as well as multidisciplinary solutions developed via control modeling. As such, it offers the perfect reference guide for graduate students, researchers and practitioners in the areas of fractional order control systems and fractional order chaotic systems.

Descriptor Systems of Integer and Fractional Orders

Tadeusz Kaczorek,Kamil Borawski
Descriptor Systems of Integer and Fractional Orders Book PDF

Author : Tadeusz Kaczorek,Kamil Borawski
Publisher : Springer Nature
Page : 252 pages
File Size : 40,5 Mb
Release : 2021-04-13
Category : Technology & Engineering
ISBN : 9783030724801

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Descriptor Systems of Integer and Fractional Orders by Tadeusz Kaczorek,Kamil Borawski Pdf

This book covers some selected problems of the descriptor integer and fractional order positive continuous-time and discrete-time systems. The book consists of 3 chapters, 4 appendices and the list of references. Chapter 1 is devoted to descriptor integer order continuous-time and discrete-time linear systems. In Chapter 2, descriptor fractional order continuous-time and discrete-time linear systems are considered. Chapter 3 is devoted to the stability of descriptor continuous-time and discrete-time systems of integer and fractional orders. In Appendix A, extensions of the Cayley–Hamilton theorem for descriptor linear systems are given. Some methods for computation of the Drazin inverse are presented in Appendix B. In Appendix C, some basic definitions and theorems on Laplace transforms and Z-transforms are given. Some properties of the nilpotent matrices are given in Appendix D.

Innovation in Electrical Power Engineering, Communication, and Computing Technology

Manohar Mishra,Renu Sharma,Akshay Kumar Rathore,Janmenjoy Nayak,Bighnaraj Naik
Innovation in Electrical Power Engineering Communication and Computing Technology Book PDF

Author : Manohar Mishra,Renu Sharma,Akshay Kumar Rathore,Janmenjoy Nayak,Bighnaraj Naik
Publisher : Springer Nature
Page : 573 pages
File Size : 55,9 Mb
Release : 2021-12-15
Category : Technology & Engineering
ISBN : 9789811670763

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Innovation in Electrical Power Engineering, Communication, and Computing Technology by Manohar Mishra,Renu Sharma,Akshay Kumar Rathore,Janmenjoy Nayak,Bighnaraj Naik Pdf

This book features selected high-quality papers from the Second International Conference on Innovation in Electrical Power Engineering, Communication, and Computing Technology (IEPCCT 2021), held at Siksha 'O' Anusandhan (Deemed to be University), Bhubaneswar, India, on 24–26 September 2021. Presenting innovations in power, communication, and computing, it covers topics such as mini, micro, smart and future power grids; power system economics; energy storage systems; intelligent control; power converters; improving power quality; signal processing; sensors and actuators; image/video processing; high-performance data mining algorithms; advances in deep learning; and optimization methods.

Mathematical Techniques of Fractional Order Systems

Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
Mathematical Techniques of Fractional Order Systems Book PDF

Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
Publisher : Elsevier
Page : 700 pages
File Size : 45,9 Mb
Release : 2018-06-11
Category : Technology & Engineering
ISBN : 9780128135938

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Mathematical Techniques of Fractional Order Systems by Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan Pdf

Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry, and for those working in areas such as control engineering, electrical engineering, computer science and information technology. This book is ideal for researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems. Discusses multidisciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results Includes circuits and systems based on new nonlinear elements Covers most of the linear and nonlinear fractional-order theorems that will solve many scientific issues for researchers Closes the gap between theoretical approaches and real-world applications Provides MATLAB® and Simulink code for many applications in the book

Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21)

Andrzej Dzielinski,Dominik Sierociuk,Piotr Ostalczyk
Proceedings of the International Conference on Fractional Differentiation and its Applications ICFDA 21 Book PDF

Author : Andrzej Dzielinski,Dominik Sierociuk,Piotr Ostalczyk
Publisher : Springer Nature
Page : 268 pages
File Size : 40,5 Mb
Release : 2022-04-26
Category : Technology & Engineering
ISBN : 9783031043833

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Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21) by Andrzej Dzielinski,Dominik Sierociuk,Piotr Ostalczyk Pdf

This book touches upon various aspects of a very interesting, and growing in popularity category of models of dynamical systems. These are the so-called fractional-order systems. Such models are not only relevant for many fields of science and technology, but may also find numerous applications in other disciplines applying the mathematical modelling tools. Thus, the book is intended for a very wide audience of professionals who want to expand their knowledge of systems modelling and its applications. The book includes the selections of papers presented at the International Conference on Fractional Calculus and its Applications organized by the Warsaw University of Technology and was held online on 6–8 September 2021. The International Conference on Fractional Calculus and its Applications (ICFDA) has an almost twenty years history. It started in Bordeaux (France) in 2004, followed by Porto (Portugal) 2006, Istanbul (Turkey) 2008, Badajoz (Spain) 2010, Nanjing (China) 2012, Catania (Italy) 2014, Novi Sad (Serbia) 2016, Amman (Jordan) 2018. Next ICFDA was planned in 2020 in Warsaw (Poland), but COVID-19 pandemic shifted it to 6–8 September 2021. Hence, the organizers were forced to change the form of the conference to the online one. In the volume twenty eight high-quality research papers presented during the ICFDA 2021 eleven Regular Sessions with an additional online Discussion Session are presented. The presented papers are scientifically inspiring, leading to new fruitful ideas. They cover a very broad range of many disciplines. Nowadays, and especially in such a subject as fractional calculus, it is very difficult to assign papers to specific scientific areas. So, many of the papers included have an interdisciplinary character.

Non-Integer Order Calculus and its Applications

Piotr Ostalczyk,Dominik Sankowski,Jacek Nowakowski
Non Integer Order Calculus and its Applications Book PDF

Author : Piotr Ostalczyk,Dominik Sankowski,Jacek Nowakowski
Publisher : Springer
Page : 229 pages
File Size : 40,5 Mb
Release : 2018-03-22
Category : Technology & Engineering
ISBN : 9783319784588

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Non-Integer Order Calculus and its Applications by Piotr Ostalczyk,Dominik Sankowski,Jacek Nowakowski Pdf

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.

Design of CMOS Analog Integrated Fractional-Order Circuits

Georgia Tsirimokou,Costas Psychalinos,Ahmed Elwakil
Design of CMOS Analog Integrated Fractional Order Circuits Book PDF

Author : Georgia Tsirimokou,Costas Psychalinos,Ahmed Elwakil
Publisher : Springer
Page : 114 pages
File Size : 55,7 Mb
Release : 2017-04-12
Category : Technology & Engineering
ISBN : 9783319556338

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Design of CMOS Analog Integrated Fractional-Order Circuits by Georgia Tsirimokou,Costas Psychalinos,Ahmed Elwakil Pdf

This book describes the design and realization of analog fractional-order circuits, which are suitable for on-chip implementation, capable of low-voltage operation and electronic adjustment of their characteristics. The authors provide a brief introduction to fractional-order calculus, followed by design issues for fractional-order circuits of various orders and types. The benefits of this approach are demonstrated with current-mode and voltage-mode filter designs. Electronically tunable emulators of fractional-order capacitors and inductors are presented, where the behavior of the corresponding chips fabricated using the AMS 0.35um CMOS process has been experimentally verified. Applications of fractional-order circuits are demonstrated, including a pre-processing stage suitable for the implementation of the Pan-Tompkins algorithm for detecting the QRS complexes of an electrocardiogram (ECG), a fully tunable implementation of the Cole-Cole model used for the modeling of biological tissues, and a simple, non-impedance based measuring technique for super-capacitors.

Theory and Applications of Non-integer Order Systems

Artur Babiarz,Adam Czornik,Jerzy Klamka,Michał Niezabitowski
Theory and Applications of Non integer Order Systems Book PDF

Author : Artur Babiarz,Adam Czornik,Jerzy Klamka,Michał Niezabitowski
Publisher : Springer
Page : 512 pages
File Size : 48,9 Mb
Release : 2016-09-15
Category : Technology & Engineering
ISBN : 9783319454740

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Theory and Applications of Non-integer Order Systems by Artur Babiarz,Adam Czornik,Jerzy Klamka,Michał Niezabitowski Pdf

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.

Functional Fractional Calculus for System Identification and Controls

Shantanu Das
Functional Fractional Calculus for System Identification and Controls Book PDF

Author : Shantanu Das
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 51,7 Mb
Release : 2007-09-26
Category : Technology & Engineering
ISBN : 9783540727033

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Functional Fractional Calculus for System Identification and Controls by Shantanu Das Pdf

In this book, not only are mathematical abstractions discussed in a lucid manner, but also several practical applications are given particularly for system identification, description and then efficient controls. The reader gets a feeling of the wide applicability of fractional calculus in the field of science and engineering. With this book, a starter can understand the concepts of this emerging field with a minimal effort and basic mathematics.

Fractional-Order Devices

Karabi Biswas,Gary Bohannan,Riccardo Caponetto,António Mendes Lopes,José António Tenreiro Machado
Fractional Order Devices Book PDF

Author : Karabi Biswas,Gary Bohannan,Riccardo Caponetto,António Mendes Lopes,José António Tenreiro Machado
Publisher : Springer
Page : 102 pages
File Size : 47,6 Mb
Release : 2017-05-11
Category : Technology & Engineering
ISBN : 9783319544601

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Fractional-Order Devices by Karabi Biswas,Gary Bohannan,Riccardo Caponetto,António Mendes Lopes,José António Tenreiro Machado Pdf

This book focuses on two specific areas related to fractional order systems – the realization of physical devices characterized by non-integer order impedance, usually called fractional-order elements (FOEs); and the characterization of vegetable tissues via electrical impedance spectroscopy (EIS) – and provides readers with new tools for designing new types of integrated circuits. The majority of the book addresses FOEs. The interest in these topics is related to the need to produce “analogue” electronic devices characterized by non-integer order impedance, and to the characterization of natural phenomena, which are systems with memory or aftereffects and for which the fractional-order calculus tool is the ideal choice for analysis. FOEs represent the building blocks for designing and realizing analogue integrated electronic circuits, which the authors believe hold the potential for a wealth of mass-market applications. The freedom to choose either an integer- or non-integer-order analogue integrator/derivator is a new one for electronic circuit designers. The book shows how specific non-integer-order impedance elements can be created using materials with specific structural properties. EIS measures the electrical impedance of a specimen across a given range of frequencies, producing a spectrum that represents the variation of the impedance versus frequency – a technique that has the advantage of avoiding aggressive examinations. Biological tissues are complex systems characterized by dynamic processes that occur at different lengths and time scales; this book proposes a model for vegetable tissues that describes the behavior of such materials by considering the interactions among various relaxing phenomena and memory effects.