Fractional Order Nonlinear Systems

Written By Ivo Petráš
Fractional Order Nonlinear Systems
  • Publsiher : Springer Science & Business Media
  • Release : 30 May 2011
  • ISBN : 3642181015
  • Pages : 218 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Fractional Order Nonlinear Systems written by Ivo Petráš which was release on 30 May 2011, this book published by Springer Science & Business Media. Available in PDF, EPUB and Kindle Format. Book excerpt: "Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order. The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.

Fractional Order Nonlinear Systems

Fractional Order Nonlinear Systems
  • Author : Ivo Petráš
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-05-30
  • Total pages : 218
  • ISBN : 3642181015
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Summary : "Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in ...

Fractional Order Systems

Fractional Order Systems
  • Author : Riccardo Caponetto
  • Publisher : World Scientific
  • Release Date : 2010
  • Total pages : 200
  • ISBN : 3642181015
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Summary : This book aims to propose implementations and applications of Fractional Order Systems (FOS). It is well known that FOS can be applied in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. A further and mandatory step for FOS real world ...

Fractional Order Systems

Fractional Order Systems
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2021-06-25
  • Total pages : 212
  • ISBN : 3642181015
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Summary : Download or read online Fractional Order Systems written by , published by which was released on . Get Fractional Order Systems Books now! Available in PDF, ePub and Kindle....

Fractional Order Systems Control Theory and Applications

Fractional Order Systems   Control Theory and Applications
  • Author : Omar Naifar,Abdellatif Ben Makhlouf
  • Publisher : Springer
  • Release Date : 2021-08-11
  • Total pages : 290
  • ISBN : 3642181015
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Summary : 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 ...

Fractional Order Control Systems

Fractional Order Control Systems
  • Author : Dingyü Xue
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2017-07-10
  • Total pages : 388
  • ISBN : 3642181015
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Summary : This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, ...

Mathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems
  • Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
  • Publisher : Elsevier
  • Release Date : 2018-06-11
  • Total pages : 700
  • ISBN : 3642181015
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Summary : 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 ...

Advanced Synchronization Control and Bifurcation of Chaotic Fractional Order Systems

Advanced Synchronization Control and Bifurcation of Chaotic Fractional Order Systems
  • Author : Boulkroune, Abdesselem,Ladaci, Samir
  • Publisher : IGI Global
  • Release Date : 2018-05-11
  • Total pages : 539
  • ISBN : 3642181015
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Summary : In the recent years, fractional-order systems have been studied by many researchers in the engineering field. It was found that many systems can be described more accurately by fractional differential equations than by integer-order models. Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems is a scholarly publication that explores ...

Stabilization and Control of Fractional Order Systems A Sliding Mode Approach

Stabilization and Control of Fractional Order Systems  A Sliding Mode Approach
  • Author : Bijnan Bandyopadhyay,Shyam Kamal
  • Publisher : Springer
  • Release Date : 2014-07-22
  • Total pages : 200
  • ISBN : 3642181015
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Summary : In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregularities inside the systems by using more sophisticated mathematical ...

Fault tolerant Control and Diagnosis for Integer and Fractional order Systems

Fault tolerant Control and Diagnosis for Integer and Fractional order Systems
  • Author : Rafael Martínez-Guerra,Fidel Meléndez-Vázquez,Iván Trejo-Zúñiga
  • Publisher : Springer
  • Release Date : 2021-02-12
  • Total pages : 196
  • ISBN : 3642181015
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Summary : This book is about algebraic and differential methods, as well as fractional calculus, applied to diagnose and reject faults in nonlinear systems, which are of integer or fractional order. This represents an extension of a very important and widely studied problem in control theory, namely fault diagnosis and rejection (using ...

Robust Adaptive Control for Fractional Order Systems with Disturbance and Saturation

Robust Adaptive Control for Fractional Order Systems with Disturbance and Saturation
  • Author : Mou Chen,Shuyi Shao,Peng Shi
  • Publisher : John Wiley & Sons
  • Release Date : 2017-12-26
  • Total pages : 256
  • ISBN : 3642181015
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Summary : A treatise on investigating tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation Robust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation provides the reader with a good understanding on how to achieve tracking control and synchronization control of fractional-order nonlinear ...

Intelligent Fractional Order Systems and Control

Intelligent Fractional Order Systems and Control
  • Author : Indranil Pan,Saptarshi Das
  • Publisher : Springer
  • Release Date : 2012-08-23
  • Total pages : 298
  • ISBN : 3642181015
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Summary : Fractional order calculus is finding increasing interest in the control system community. Hardware realizations of fractional order controllers have sparked off a renewed zeal into the investigations of control system design in the light of fractional calculus. As such many notions of integer order LTI systems are being modified and ...

Fractional Order Signal Processing

Fractional Order Signal Processing
  • Author : Saptarshi Das,Indranil Pan
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-09-15
  • Total pages : 101
  • ISBN : 3642181015
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Summary : The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level research scholars who would like to work in the field of Fractional ...

Advances in Synchronization of Coupled Fractional Order Systems

Advances in Synchronization of Coupled Fractional Order Systems
  • Author : Rafael Martínez-Guerra,Claudia Alejandra Pérez-Pinacho
  • Publisher : Springer
  • Release Date : 2018-07-23
  • Total pages : 185
  • ISBN : 3642181015
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Summary : After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering. As with many other approaches to mathematical modeling, the first ...

Distributed Order Dynamic Systems

Distributed Order Dynamic Systems
  • Author : Zhuang Jiao,YangQuan Chen,Igor Podlubny
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-02-24
  • Total pages : 90
  • ISBN : 3642181015
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Summary : Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains ...

Fractional Order Systems

Fractional Order Systems
  • Author : Ivo Petráš
  • Publisher : MDPI
  • Release Date : 2019-10-29
  • Total pages : 114
  • ISBN : 3642181015
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Summary : This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, ...