Iterative Learning Control For Equations With Fractional Derivatives And Impulses

Download Iterative Learning Control For Equations With Fractional Derivatives And Impulses full books in PDF, epub, and Kindle. Read online Iterative Learning Control For Equations With Fractional Derivatives And Impulses ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Iterative Learning Control for Equations with Fractional Derivatives and Impulses

Author : JinRong Wang
Publisher : Springer Nature
ISBN 13 : 9811682445
Total Pages : 263 pages
Book Rating : 4.8/5 (116 download)

DOWNLOAD NOW!

Book Synopsis Iterative Learning Control for Equations with Fractional Derivatives and Impulses by : JinRong Wang

Download or read book Iterative Learning Control for Equations with Fractional Derivatives and Impulses written by JinRong Wang and published by Springer Nature. This book was released on 2021-12-10 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces iterative learning control (ILC) and its applications to the new equations such as fractional order equations, impulsive equations, delay equations, and multi-agent systems, which have not been presented in other books on conventional fields. ILC is an important branch of intelligent control, which is applicable to robotics, process control, and biological systems. The fractional version of ILC updating laws and formation control are presented in this book. ILC design for impulsive equations and inclusions are also established. The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique. This book is useful for graduate students studying ILC involving fractional derivatives and impulsive conditions as well as for researchers working in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines.

Iterative Learning Control for Equations with Fractional Derivatives and Impulses

Author : JinRong Wang
Publisher :
ISBN 13 : 9789811682452
Total Pages : 0 pages
Book Rating : 4.6/5 (824 download)

DOWNLOAD NOW!

Book Synopsis Iterative Learning Control for Equations with Fractional Derivatives and Impulses by : JinRong Wang

Download or read book Iterative Learning Control for Equations with Fractional Derivatives and Impulses written by JinRong Wang and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces iterative learning control (ILC) and its applications to the new equations such as fractional order equations, impulsive equations, delay equations, and multi-agent systems, which have not been presented in other books on conventional fields. ILC is an important branch of intelligent control, which is applicable to robotics, process control, and biological systems. The fractional version of ILC updating laws and formation control are presented in this book. ILC design for impulsive equations and inclusions are also established. The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique. This book is useful for graduate students studying ILC involving fractional derivatives and impulsive conditions as well as for researchers working in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines.

Basic Theory Of Fractional Differential Equations (Second Edition)

Author : Yong Zhou
Publisher : World Scientific
ISBN 13 : 9813148187
Total Pages : 380 pages
Book Rating : 4.8/5 (131 download)

DOWNLOAD NOW!

Book Synopsis Basic Theory Of Fractional Differential Equations (Second Edition) by : Yong Zhou

Download or read book Basic Theory Of Fractional Differential Equations (Second Edition) written by Yong Zhou and published by World Scientific. This book was released on 2016-10-20 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations. It provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, the technique of Picard operators, critical point theory and semigroup theory. Based on the research work carried out by the authors and other experts during the past seven years, the contents are very recent and comprehensive.In this edition, two new topics have been added, that is, fractional impulsive differential equations, and fractional partial differential equations including fractional Navier-Stokes equations and fractional diffusion equations.

Basic Theory Of Fractional Differential Equations (Third Edition)

Author : Yong Zhou
Publisher : World Scientific
ISBN 13 : 9811271704
Total Pages : 516 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Basic Theory Of Fractional Differential Equations (Third Edition) by : Yong Zhou

Download or read book Basic Theory Of Fractional Differential Equations (Third Edition) written by Yong Zhou and published by World Scientific. This book was released on 2023-10-06 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary differential equations and evolution equations. It is self-contained and unified in presentation, and provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, Picard operators technique, critical point theory and semigroups theory. This book is based on the research work done so far by the author and other experts, and contains comprehensive up-to-date materials on the topic.In this third edition, four new topics have been added: Hilfer fractional evolution equations and infinite interval problems, oscillations and nonoscillations, fractional Hamiltonian systems, fractional Rayleigh-Stokes equations, and wave equations. The bibliography has also been updated and expanded.This book is useful to researchers, graduate or PhD students dealing with fractional calculus and applied analysis, differential equations, and related areas of research.

Fractional Hermite-Hadamard Inequalities

Author : JinRong Wang
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110523620
Total Pages : 390 pages
Book Rating : 4.1/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Fractional Hermite-Hadamard Inequalities by : JinRong Wang

Download or read book Fractional Hermite-Hadamard Inequalities written by JinRong Wang and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-05-22 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions. Illustrating theoretical results via applications in special means of real numbers, it is an essential reference for applied mathematicians and engineers working with fractional calculus. Contents Introduction Preliminaries Fractional integral identities Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals Hermite-Hadamard inequalities involving Hadamard fractional integrals

Stability and Controls Analysis for Delay Systems

Author : Jinrong Wang
Publisher : Elsevier
ISBN 13 : 0323997937
Total Pages : 332 pages
Book Rating : 4.3/5 (239 download)

DOWNLOAD NOW!

Book Synopsis Stability and Controls Analysis for Delay Systems by : Jinrong Wang

Download or read book Stability and Controls Analysis for Delay Systems written by Jinrong Wang and published by Elsevier. This book was released on 2022-11-26 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability and Controls Analysis for Delay Systems is devoted to stability, controllability and iterative learning control (ILC) to delay systems, including first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from physics, biology, population dynamics, ecology and economics, currently not presented in other books on conventional fields. Delayed exponential matrix function approach is widely used to derive the representation and stability of the solutions and the controllability. ILC design are also established, which can be regarded as a way to find the control function. The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique. - Presents the representation and stability of solutions via the delayed exponential matrix function approach - Gives useful sufficient conditions to guarantee controllability - Establishes ILC design and focuses on new systems such as the first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from various subjects

Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490111425
Total Pages : 1198 pages
Book Rating : 4.4/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition by :

Download or read book Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Mathematical Analysis. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematical Analysis in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Fractional Differential Equations, Inclusions and Inequalities with Applications

Author : Sotiris K. Ntouyas
Publisher : MDPI
ISBN 13 : 3039432184
Total Pages : 518 pages
Book Rating : 4.0/5 (394 download)

DOWNLOAD NOW!

Book Synopsis Fractional Differential Equations, Inclusions and Inequalities with Applications by : Sotiris K. Ntouyas

Download or read book Fractional Differential Equations, Inclusions and Inequalities with Applications written by Sotiris K. Ntouyas and published by MDPI. This book was released on 2020-11-09 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special Issue presents recent developments in the theory of fractional differential equations and inequalities. Topics include but are not limited to the existence and uniqueness results for boundary value problems for different types of fractional differential equations, a variety of fractional inequalities, impulsive fractional differential equations, and applications in sciences and engineering.

Fractional Differential Equations

Author : Anatoly Kochubei
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571668
Total Pages : 528 pages
Book Rating : 4.1/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Fractional Differential Equations by : Anatoly Kochubei

Download or read book Fractional Differential Equations written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.

Applications Of Fractional Calculus In Physics

Author : Rudolf Hilfer
Publisher : World Scientific
ISBN 13 : 9814496200
Total Pages : 473 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Applications Of Fractional Calculus In Physics by : Rudolf Hilfer

Download or read book Applications Of Fractional Calculus In Physics written by Rudolf Hilfer and published by World Scientific. This book was released on 2000-03-02 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus.This volume provides an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.

The Analysis of Fractional Differential Equations

Author : Kai Diethelm
Publisher : Springer
ISBN 13 : 3642145744
Total Pages : 251 pages
Book Rating : 4.6/5 (421 download)

DOWNLOAD NOW!

Book Synopsis The Analysis of Fractional Differential Equations by : Kai Diethelm

Download or read book The Analysis of Fractional Differential Equations written by Kai Diethelm and published by Springer. This book was released on 2010-08-18 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations.

Applied Stochastic Differential Equations

Author : Simo Särkkä
Publisher : Cambridge University Press
ISBN 13 : 1316510085
Total Pages : 327 pages
Book Rating : 4.3/5 (165 download)

DOWNLOAD NOW!

Book Synopsis Applied Stochastic Differential Equations by : Simo Särkkä

Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Impulsive Differential Equations

Author : N Perestyuk
Publisher : World Scientific
ISBN 13 : 981449982X
Total Pages : 474 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Impulsive Differential Equations by : N Perestyuk

Download or read book Impulsive Differential Equations written by N Perestyuk and published by World Scientific. This book was released on 1995-08-31 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Fractional-order Systems and Controls

Author : Concepción A. Monje
Publisher : Springer Science & Business Media
ISBN 13 : 1849963355
Total Pages : 430 pages
Book Rating : 4.8/5 (499 download)

DOWNLOAD NOW!

Book Synopsis Fractional-order Systems and Controls by : Concepción A. Monje

Download or read book Fractional-order Systems and Controls written by Concepción A. Monje and published by Springer Science & Business Media. This book was released on 2010-09-28 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fuzzy Fractional Differential Operators and Equations

Author : Tofigh Allahviranloo
Publisher : Springer Nature
ISBN 13 : 303051272X
Total Pages : 303 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!

Book Synopsis Fuzzy Fractional Differential Operators and Equations by : Tofigh Allahviranloo

Download or read book Fuzzy Fractional Differential Operators and Equations written by Tofigh Allahviranloo and published by Springer Nature. This book was released on 2020-06-15 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the title of the book suggests, the fuzzy subject matter is one of the most important tools discussed. Therefore, it begins by providing a brief but important and new description of fuzzy sets and the computational calculus they require. Fuzzy fractals and fractional operators have a broad range of applications in the engineering, medical and economic sciences. Although these operators have been addressed briefly in previous papers, this book represents the first comprehensive collection of all relevant explanations. Most of the real problems in the biological and engineering sciences involve dynamic models, which are defined by fuzzy fractional operators in the form of fuzzy fractional initial value problems. Another important goal of this book is to solve these systems and analyze their solutions both theoretically and numerically. Given the content covered, the book will benefit all researchers and students in the mathematical and computer sciences, but also the engineering sciences.

Mathematical Economics

Author : Vasily E. Tarasov
Publisher : MDPI
ISBN 13 : 303936118X
Total Pages : 278 pages
Book Rating : 4.0/5 (393 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Economics by : Vasily E. Tarasov

Download or read book Mathematical Economics written by Vasily E. Tarasov and published by MDPI. This book was released on 2020-06-03 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.