bookbugs.net

PDF download and read online

Diversity And Non Integer Differentiation For System Dynamics

Diversity and Non integer Differentiation for System Dynamics PDF
Author: Alain Oustaloup
Publisher: John Wiley & Sons
Release: 2014-08-08
ISBN: 1118760824
Size: 27.80 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 384
View: 4743

Download

Diversity And Non Integer Differentiation For System Dynamics

by Alain Oustaloup, Diversity And Non Integer Differentiation For System Dynamics Books available in PDF, EPUB, Mobi Format. Download Diversity And Non Integer Differentiation For System Dynamics books, Based on a structured approach to diversity, notably inspired by various forms of diversity of natural origins, Diversity and Non-integer Derivation Applied to System Dynamics provides a study framework to the introduction of the non-integer derivative as a modeling tool. Modeling tools that highlight unsuspected dynamical performances (notably damping performances) in an "integer" approach of mechanics and automation are also included. Written to enable a two-tier reading, this is an essential resource for scientists, researchers, and industrial engineers interested in this subject area. Table of Contents: 1. From Diversity to Unexpected Dynamic Performance. 2. The Robustness of Damping. 3. Fractional Differentiation and its Memory. 4. CRONE Suspension Idea. 5. CRONE Control Idea



Fractional Signals And Systems

Fractional Signals and Systems PDF
Author: Manuel Duarte Ortigueira
Publisher: Walter de Gruyter GmbH & Co KG
Release: 2020-03-09
ISBN: 3110621320
Size: 45.70 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 298
View: 6889

Download

Fractional Signals And Systems

by Manuel Duarte Ortigueira, Fractional Signals And Systems Books available in PDF, EPUB, Mobi Format. Download Fractional Signals And Systems books, The book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. Some advanced topics are included like derivatives of stochastic processes. It is an essential reference for researchers in mathematics, physics, and engineering.



Discrete Fractional Calculus

Discrete Fractional Calculus PDF
Author: Piotr Ostalczyk
Publisher: World Scientific
Release: 2015-11-26
ISBN: 9814725684
Size: 50.65 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 356
View: 452

Download

Discrete Fractional Calculus

by Piotr Ostalczyk, Discrete Fractional Calculus Books available in PDF, EPUB, Mobi Format. Download Discrete Fractional Calculus books, The main subject of the monograph is the fractional calculus in the discrete version. The volume is divided into three main parts. Part one contains a theoretical introduction to the classical and fractional-order discrete calculus where the fundamental role is played by the backward difference and sum. In the second part, selected applications of the discrete fractional calculus in the discrete system control theory are presented. In the discrete system identification, analysis and synthesis, one can consider integer or fractional models based on the fractional-order difference equations. The third part of the book is devoted to digital image processing. Contents:Discrete-Variable Real FunctionsThe n-th Order Backward Difference/Sum of the Discrete-Variable FunctionFractional-Order Backward Differ-SumThe FOBD-S Graphical InterpretationThe FOBD/S Selected PropertiesThe FO Dynamic System DescriptionLinear FO System AnalysisThe Linear FO Discrete-Time Fundamental ElementsFO Discrete-Time System StructuresFractional Discrete-Time PID ControllerFOS Approximation ProblemsFractional PotentialFO Image Filtering and Edge DetectionAppendix A: Selected Linear Algebra Formulae and Discrete-Variable Special Functions Readership: Researchers, academics, professionals and graduate students in pattern recognition/image analysis, robotics and automated systems, systems engineering and mathematical modeling. Keywords:Fractional Calculus;Fractional-Order Backward-Difference;Fractional-Order Linear Difference Equation;Discrete-System;State-Space Equations



Basic Theory

Basic Theory PDF
Author: Anatoly Kochubei
Publisher: Walter de Gruyter GmbH & Co KG
Release: 2019-02-19
ISBN: 3110571625
Size: 64.47 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 489
View: 2154

Download

Basic Theory

by Anatoly Kochubei, Basic Theory Books available in PDF, EPUB, Mobi Format. Download Basic Theory books, 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 aspects.



Analysis Modeling And Stability Of Fractional Order Differential Systems 1

Analysis  Modeling and Stability of Fractional Order Differential Systems 1 PDF
Author: Jean-Claude Trigeassou
Publisher: John Wiley & Sons
Release: 2019-09-11
ISBN: 1786302691
Size: 79.37 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 316
View: 4014

Download

Analysis Modeling And Stability Of Fractional Order Differential Systems 1

by Jean-Claude Trigeassou, Analysis Modeling And Stability Of Fractional Order Differential Systems 1 Books available in PDF, EPUB, Mobi Format. Download Analysis Modeling And Stability Of Fractional Order Differential Systems 1 books, This book introduces an original fractional calculus methodology (‘the infinite state approach’) which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation.



Fractional Order Control Systems

Fractional Order Control Systems PDF
Author: Dingyü Xue
Publisher: Walter de Gruyter GmbH & Co KG
Release: 2017-07-10
ISBN: 3110497190
Size: 52.11 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 388
View: 4888

Download

Fractional Order Control Systems

by Dingyü Xue, Fractional Order Control Systems Books available in PDF, EPUB, Mobi Format. Download Fractional Order Control Systems books, 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, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. Contents Introduction to fractional calculus and fractional-order control Mathematical prerequisites Definitions and computation algorithms of fractional-order derivatives and Integrals Solutions of linear fractional-order differential equations Approximation of fractional-order operators Modelling and analysis of multivariable fractional-order transfer function Matrices State space modelling and analysis of linear fractional-order Systems Numerical solutions of nonlinear fractional-order differential Equations Design of fractional-order PID controllers Frequency domain controller design for multivariable fractional-order Systems Inverse Laplace transforms involving fractional and irrational Operations FOTF Toolbox functions and models Benchmark problems for the assessment of fractional-order differential equation algorithms



Analysis Modeling And Stability Of Fractional Order Differential Systems 2

Analysis  Modeling  and Stability of Fractional Order Differential Systems 2 PDF
Author: Jean-Claude Trigeassou
Publisher: John Wiley & Sons
Release: 2020-01-09
ISBN: 1786304554
Size: 67.35 MB
Format: PDF, ePub, Docs
Category : Technology & Engineering
Languages : en
Pages : 426
View: 5346

Download

Analysis Modeling And Stability Of Fractional Order Differential Systems 2

by Jean-Claude Trigeassou, Analysis Modeling And Stability Of Fractional Order Differential Systems 2 Books available in PDF, EPUB, Mobi Format. Download Analysis Modeling And Stability Of Fractional Order Differential Systems 2 books, This book introduces an original fractional calculus methodology (the infinite state approach) which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation. With this approach, fundamental issues such as system state interpretation and system initialization – long considered to be major theoretical pitfalls – have been solved easily. Although originally introduced for numerical simulation and identification of FDEs, this approach also provides original solutions to many problems such as the initial conditions of fractional derivatives, the uniqueness of FDS transients, formulation of analytical transients, fractional differentiation of functions, state observation and control, definition of fractional energy, and Lyapunov stability analysis of linear and nonlinear fractional order systems. This second volume focuses on the initialization, observation and control of the distributed state, followed by stability analysis of fractional differential systems.



Fractional Integrals And Derivatives Ldquo True Rdquo Versus Ldquo False Rdquo

Fractional Integrals and Derivatives   ldquo True rdquo  versus  ldquo False rdquo  PDF
Author: Yuri Luchko
Publisher: MDPI
Release: 2021-03-16
ISBN: 303650494X
Size: 33.78 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 280
View: 865

Download

Fractional Integrals And Derivatives Ldquo True Rdquo Versus Ldquo False Rdquo

by Yuri Luchko, Fractional Integrals And Derivatives Ldquo True Rdquo Versus Ldquo False Rdquo Books available in PDF, EPUB, Mobi Format. Download Fractional Integrals And Derivatives Ldquo True Rdquo Versus Ldquo False Rdquo books, This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like “What are the fractional integrals and derivatives?”, “What are their decisive mathematical properties?”, “What fractional operators make sense in applications and why?’’, etc. In particular, the “new fractional derivatives and integrals” and the models with these fractional order operators are critically addressed. The Special Issue contains both the surveys and the research contributions. A part of the articles deals with foundations of FC that are considered from the viewpoints of the pure and applied mathematics, and the system theory. Another part of the Special issue addresses the applications of the FC operators and the fractional differential equations. Several articles devoted to the numerical treatment of the FC operators and the fractional differential equations complete the Special Issue.



Introduction To Fractional Differential Equations

Introduction to Fractional Differential Equations PDF
Author: Constantin Milici
Publisher: Springer
Release: 2018-10-28
ISBN: 3030008959
Size: 47.71 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 188
View: 3047

Download

Introduction To Fractional Differential Equations

by Constantin Milici, Introduction To Fractional Differential Equations Books available in PDF, EPUB, Mobi Format. Download Introduction To Fractional Differential Equations books, This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods.