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Fractional Order Singular Systems


Fractional Order Singular Systems
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Fractional Order Singular Systems


Fractional Order Singular Systems
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Author : Qing-Hao Zhang
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-03-03

Fractional Order Singular Systems written by Qing-Hao Zhang and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-03 with Technology & Engineering categories.


This book explores robust control strategies to manage the inherent uncertainties and maintain the admissibility and performance of fractional-order singular systems. It covers essential topics such as system admissibility, robust stabilization, H∞ control, positive real control, fault detection, delay systems, and provides a comprehensive framework for both the theoretical analysis and practical implementation of robust control methods.



Fractional Order Singular Systems


Fractional Order Singular Systems
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Author : Qing-Hao Zhang
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-03-03

Fractional Order Singular Systems written by Qing-Hao Zhang and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-03 with Technology & Engineering categories.


This book explores robust control strategies to manage the inherent uncertainties and maintain the admissibility and performance of fractional-order singular systems. It covers essential topics such as system admissibility, robust stabilization, H∞ control, positive real control, fault detection, delay systems, and provides a comprehensive framework for both the theoretical analysis and practical implementation of robust control methods.



Discrete Fractional Calculus


Discrete Fractional Calculus
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Author : Christopher Goodrich
language : en
Publisher: Springer
Release Date : 2016-02-09

Discrete Fractional Calculus written by Christopher Goodrich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-09 with Mathematics categories.


This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each chapter and select answers have been provided at the end of the book. The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject. Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory course for difference equations which also includes discrete fractional calculus. Chapters 1—2 provide a basic introduction to the delta calculus including fractional calculus on the set of integers. For courses where students already have background in elementary real analysis, Chapters 1—2 may be covered quickly and readers may then skip to Chapters 6—7 which present some basic results in fractional boundary value problems (FBVPs). Chapters 6—7 in conjunction with some of the current literature listed in the Bibliography can provide a basis for a seminar in the current theory of FBVPs. For a two-semester course, Chapters 1—5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integer-order calculus.



Descriptor Systems Of Integer And Fractional Orders


Descriptor Systems Of Integer And Fractional Orders
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Author : Tadeusz Kaczorek
language : en
Publisher: Springer Nature
Release Date : 2021-04-13

Descriptor Systems Of Integer And Fractional Orders written by Tadeusz Kaczorek and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-13 with Technology & Engineering categories.


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.



Fractional Order Systems


Fractional Order Systems
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Author : Ahmed G. Radwan
language : en
Publisher: Academic Press
Release Date : 2021-10-13

Fractional Order Systems written by Ahmed G. Radwan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-13 with Technology & Engineering categories.


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 Systems And Controls


Fractional Order Systems And Controls
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Author : Concepción A. Monje
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-28

Fractional Order Systems And Controls written by Concepción A. Monje and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-28 with Technology & Engineering categories.


Fractional-order Systems and Controls details the use of fractional calculus in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the simulation of fractional-order control (FOC) systems. Many different FOC schemes are presented for control and dynamic systems problems. Practical material relating to a wide variety of applications is also provided. All the control schemes and applications are presented in the monograph with either system simulation results or real experimental results, or both. Fractional-order Systems and Controls provides readers with a basic understanding of FOC concepts and methods, so they can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.



Selected Problems Of Fractional Systems Theory


Selected Problems Of Fractional Systems Theory
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Author : Tadeusz Kaczorek
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-10

Selected Problems Of Fractional Systems Theory written by Tadeusz Kaczorek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-10 with Technology & Engineering categories.


This monograph covers some selected problems of positive fractional 1D and 2D linear systems. It is an extended and modified English version of its preceding Polish edition published by Technical University of Bialystok in 2009. This book is based on the lectures delivered by the author to the Ph.D. students of the Faculty of Electrical Engineering of Bialystok University of Technology and of Warsaw University of Technology and on invited lectures in several foreign universities in the last three years.



Advances In Electrical Control And Signal Systems


Advances In Electrical Control And Signal Systems
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Author : Gayadhar Pradhan
language : en
Publisher: Springer Nature
Release Date : 2020-07-01

Advances In Electrical Control And Signal Systems written by Gayadhar Pradhan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-01 with Technology & Engineering categories.


This book presents select proceedings of the International Conference on Advances in Electrical Control and Signal Systems (AECSS) 2019. The focus is on the current developments in control and signal systems in electrical engineering, and covers various topics such as power systems, energy systems, micro grid, smart grid, networks, fuzzy systems and their control. The book also discusses various properties and performance of signal systems and their applications in different fields. The contents of this book can be useful for students, researchers as well as professionals working in power and energy systems, and other related fields.



Nonlinear Dynamical Systems With Self Excited And Hidden Attractors


Nonlinear Dynamical Systems With Self Excited And Hidden Attractors
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Author : Viet-Thanh Pham
language : en
Publisher: Springer
Release Date : 2018-02-26

Nonlinear Dynamical Systems With Self Excited And Hidden Attractors written by Viet-Thanh Pham and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-26 with Technology & Engineering categories.


This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.



Proceedings Of The 2015 Chinese Intelligent Systems Conference


Proceedings Of The 2015 Chinese Intelligent Systems Conference
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Author : Yingmin Jia
language : en
Publisher: Springer
Release Date : 2015-11-21

Proceedings Of The 2015 Chinese Intelligent Systems Conference written by Yingmin Jia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-21 with Technology & Engineering categories.


This book presents selected research papers from the 2015 Chinese Intelligent Systems Conference (CISC’15), held in Yangzhou, China. The topics covered include multi-agent systems, evolutionary computation, artificial intelligence, complex systems, computation intelligence and soft computing, intelligent control, advanced control technology, robotics and applications, intelligent information processing, iterative learning control, and machine learning. Engineers and researchers from academia, industry and the government can gain valuable insights into solutions combining ideas from multiple disciplines in the field of intelligent systems.