Numerical Solution Of Fractional Optimal Control Problems Via Lagrange Polynomials

Download Numerical Solution Of Fractional Optimal Control Problems Via Lagrange Polynomials full books in PDF, epub, and Kindle. Read online Numerical Solution Of Fractional Optimal Control Problems Via Lagrange Polynomials ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

An Introduction to Fractional Calculus

Author : A. M. Mathai
Publisher : Nova Science Publishers
ISBN 13 : 9781536120424
Total Pages : 0 pages
Book Rating : 4.1/5 (24 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Fractional Calculus by : A. M. Mathai

Download or read book An Introduction to Fractional Calculus written by A. M. Mathai and published by Nova Science Publishers. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a modified version of Module 10 of the Centre for Mathematical and Statistical Sciences (CMSS). CMSS modules are notes prepared on various topics with many examples from real-life situations and exercises so that the subject matter becomes interesting to students. These modules are used for undergraduate level courses and graduate level training in various topics at CMSS. Aside from Module 8, these modules were developed by Dr A M Mathai, Director of CMSS and Emeritus Professor of Mathematics and Statistics, McGill University, Canada. Module 8 is based on the lecture notes of Professor W J Anderson of McGill University, developed for his undergraduate course (Mathematics 447). Professor Dr Hans J Haubold has been a research collaborator of Dr A M Mathais since 1984, mainly in the areas of astrophysics, special functions and statistical distribution theory. He is also a lifetime member of CMSS and a Professor at CMSS. A large number of papers have been published jointly in these areas since 1984. The following monographs and books have been brought out in conjunction with this joint research: Modern Problems in Nuclear and Neutrino Astrophysics (A M Mathai and H J Haubold, 1988, Akademie-Verlag, Berlin); Special Functions for Applied Scientists (A MMathai and H J Haubold, 2008, Springer, New York); and The H-Function: Theory and Applications (A M Mathai, R K Saxena and H J Haubold, 2010, Springer, New York). These CMSS modules are printed at CMSS Press and published by CMSS. Copies are made available to students free of charge, and to researchers and others at production cost. For the preparation of the initial drafts of all these modules, financial assistance was made available from the Department of Science and Technology, the Government of India (DST), New Delhi under project number SR/S4/MS:287/05. Hence, the authors would like to express their thanks and gratitude to DST, the Government of India, for its financial assistance.

The Variable-Order Fractional Calculus of Variations

Author : Ricardo Almeida
Publisher : Springer
ISBN 13 : 3319940066
Total Pages : 135 pages
Book Rating : 4.3/5 (199 download)

DOWNLOAD NOW!

Book Synopsis The Variable-Order Fractional Calculus of Variations by : Ricardo Almeida

Download or read book The Variable-Order Fractional Calculus of Variations written by Ricardo Almeida and published by Springer. This book was released on 2018-06-29 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. The contributors consider variational problems that may be subject to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, they establish necessary optimality conditions of Euler–Lagrange type. As the terminal point in the cost integral is free, as is the terminal state, transversality conditions are also obtained. The Variable-Order Fractional Calculus of Variations is a valuable source of information for researchers in mathematics, physics, engineering, control and optimization; it provides both analytical and numerical methods to deal with variational problems. It is also of interest to academics and postgraduates in these fields, as it solves multiple variational problems subject to one or more constraints in a single brief.

Computational Methods for Biological Models

Author : Harendra Singh
Publisher : Springer Nature
ISBN 13 : 9819950015
Total Pages : 254 pages
Book Rating : 4.8/5 (199 download)

DOWNLOAD NOW!

Book Synopsis Computational Methods for Biological Models by : Harendra Singh

Download or read book Computational Methods for Biological Models written by Harendra Singh and published by Springer Nature. This book was released on 2023-11-05 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses computational methods related to biological models using mathematical tools and techniques. The book chapters concentrate on numerical and analytical techniques that provide a global solution for biological models while keeping long-term benefits in mind. The solutions are useful in closely understanding biological models, and the results will be very useful for mathematicians, engineers, doctors, scientists and researchers working on real-life biological models. This book provides significant and current knowledge of biological models related to real-life applications. The book covers both methods and applications.

Dickson Polynomials

Author : Lidl
Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.E/5 ( download)

DOWNLOAD NOW!

Book Synopsis Dickson Polynomials by : Lidl

Download or read book Dickson Polynomials written by Lidl and published by Chapman and Hall/CRC. This book was released on 1993-03-29 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dickson polynomials are closely related with Chebyshev polynomials. They have a variety of algebraic and number theoretic properties and satisfy simple second-order linear differential equations and linear recurrences. For suitable parameters they form a commutative semigroup under composition. Dickson polynomials are of fundamental importance in the theory of permutation polynomials and related topics. In particular, they serve as examples of integral polynomials which induce permutations for infinitely many primes. According to 'Schur's conjecture' there are essentially no other examples. Dickson polynomials are also important in cryptology and for pseudoprimality testing. The book provides a comprehensive up-to-date collection of results concerning Dickson polynomials and presents several applications. It also treats generalizations to polynomials in several variables and related rational function like Redei functions. Each of the seven chapters includes exercises and notes. Tables of Dickson polynomials are given in the Appendix. For most parts of the text only the basic theory of groups, rings and fields is required. The proof of 'Schur's Conjecture' is largely self-contained but is based on more advanced results like an estimate for the number of rational points on an absolutely irreducible curve over a finite field. Two important theorems on primitive permutation groups are supplied with complete proofs. The book may serve as a reference text for graduate students or researchers interested in algebraic or number theoretic aspects of polynomials and for cryptologists.

Fractional Derivatives with Mittag-Leffler Kernel

Author : José Francisco Gómez
Publisher : Springer
ISBN 13 : 303011662X
Total Pages : 339 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Fractional Derivatives with Mittag-Leffler Kernel by : José Francisco Gómez

Download or read book Fractional Derivatives with Mittag-Leffler Kernel written by José Francisco Gómez and published by Springer. This book was released on 2019-02-13 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel. The different contributions, written by applied mathematicians, physicists and engineers, offers a snapshot of recent research in the field, highlighting the current methodological frameworks together with applications in different fields of science and engineering, such as chemistry, mechanics, epidemiology and more. It is intended as a timely guide and source of inspiration for graduate students and researchers in the above-mentioned areas.

Fractional Calculus

Author : Dumitru Baleanu
Publisher : World Scientific
ISBN 13 : 9814355208
Total Pages : 426 pages
Book Rating : 4.8/5 (143 download)

DOWNLOAD NOW!

Book Synopsis Fractional Calculus by : Dumitru Baleanu

Download or read book Fractional Calculus written by Dumitru Baleanu and published by World Scientific. This book was released on 2012 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods.

Fractional Dynamics and Control

Author : Dumitru Baleanu
Publisher : Springer Science & Business Media
ISBN 13 : 1461404576
Total Pages : 302 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!

Book Synopsis Fractional Dynamics and Control by : Dumitru Baleanu

Download or read book Fractional Dynamics and Control written by Dumitru Baleanu and published by Springer Science & Business Media. This book was released on 2011-11-19 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.

Fractional Order Differentiation and Robust Control Design

Author : Jocelyn Sabatier
Publisher : Springer
ISBN 13 : 9401798079
Total Pages : 330 pages
Book Rating : 4.4/5 (17 download)

DOWNLOAD NOW!

Book Synopsis Fractional Order Differentiation and Robust Control Design by : Jocelyn Sabatier

Download or read book Fractional Order Differentiation and Robust Control Design written by Jocelyn Sabatier and published by Springer. This book was released on 2015-05-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the research done and results obtained during the last ten years in the fields of fractional systems control, fractional PI and PID control, robust and CRONE control, and fractional path planning and path tracking. Coverage features theoretical results, applications and exercises. The book will be useful for post-graduate students who are looking to learn more on fractional systems and control. In addition, it will also appeal to researchers from other fields interested in increasing their knowledge in this area.

Polynomials and Polynomial Inequalities

Author : Peter Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 9780387945095
Total Pages : 508 pages
Book Rating : 4.9/5 (45 download)

DOWNLOAD NOW!

Book Synopsis Polynomials and Polynomial Inequalities by : Peter Borwein

Download or read book Polynomials and Polynomial Inequalities written by Peter Borwein and published by Springer Science & Business Media. This book was released on 1995-09-27 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.

The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order

Author :
Publisher : Elsevier
ISBN 13 : 0080956203
Total Pages : 252 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order by :

Download or read book The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order written by and published by Elsevier. This book was released on 1974-09-05 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Numerical Solution of Ordinary Differential Equations

Author : Kendall Atkinson
Publisher : John Wiley & Sons
ISBN 13 : 1118164520
Total Pages : 272 pages
Book Rating : 4.1/5 (181 download)

DOWNLOAD NOW!

Book Synopsis Numerical Solution of Ordinary Differential Equations by : Kendall Atkinson

Download or read book Numerical Solution of Ordinary Differential Equations written by Kendall Atkinson and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.

Advances in Smart Grid Automation and Industry 4.0

Author : M. Jaya Bharata Reddy
Publisher : Springer Nature
ISBN 13 : 9811576750
Total Pages : 793 pages
Book Rating : 4.8/5 (115 download)

DOWNLOAD NOW!

Book Synopsis Advances in Smart Grid Automation and Industry 4.0 by : M. Jaya Bharata Reddy

Download or read book Advances in Smart Grid Automation and Industry 4.0 written by M. Jaya Bharata Reddy and published by Springer Nature. This book was released on 2021-04-21 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises select proceedings of the International Conference on Emerging Trends for Smart Grid Automation and Industry 4.0 (ICETSGAI4.0 2019). The contents discuss the recent trends in smart grid technology and related applications. The topics covered include data analytics for smart grid operation and control, integrated power generation technologies, green technologies as well as advances in microgrid operation and planning. The book highlights the enhancement in technology in the field of smart grids, and how IoT, big data, robotics and automation, artificial intelligence, and wide area measurement have become prerequisites for the fourth industrial revolution, also known as Industry 4.0. The book can be a valuable reference for researchers and professionals interested in smart grid automation incorporating features of Industry 4.0.

Lagrange Multiplier Approach to Variational Problems and Applications

Author : Kazufumi Ito
Publisher : SIAM
ISBN 13 : 0898716497
Total Pages : 354 pages
Book Rating : 4.8/5 (987 download)

DOWNLOAD NOW!

Book Synopsis Lagrange Multiplier Approach to Variational Problems and Applications by : Kazufumi Ito

Download or read book Lagrange Multiplier Approach to Variational Problems and Applications written by Kazufumi Ito and published by SIAM. This book was released on 2008-11-06 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyses Lagrange multiplier theory and demonstrates its impact on the development of numerical algorithms for variational problems in function spaces.

Optimal Control Theory

Author : Donald E. Kirk
Publisher : Courier Corporation
ISBN 13 : 0486135071
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!

Book Synopsis Optimal Control Theory by : Donald E. Kirk

Download or read book Optimal Control Theory written by Donald E. Kirk and published by Courier Corporation. This book was released on 2012-04-26 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upper-level undergraduate text introduces aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous figures, tables. Solution guide available upon request. 1970 edition.

Constrained Optimization In The Calculus Of Variations and Optimal Control Theory

Author : J Gregory
Publisher : CRC Press
ISBN 13 : 1351087762
Total Pages : 218 pages
Book Rating : 4.3/5 (51 download)

DOWNLOAD NOW!

Book Synopsis Constrained Optimization In The Calculus Of Variations and Optimal Control Theory by : J Gregory

Download or read book Constrained Optimization In The Calculus Of Variations and Optimal Control Theory written by J Gregory and published by CRC Press. This book was released on 2018-01-18 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The major purpose of this book is to present the theoretical ideas and the analytical and numerical methods to enable the reader to understand and efficiently solve these important optimizational problems.The first half of this book should serve as the major component of a classical one or two semester course in the calculus of variations and optimal control theory. The second half of the book will describe the current research of the authors which is directed to solving these problems numerically. In particular, we present new reformulations of constrained problems which leads to unconstrained problems in the calculus of variations and new general, accurate and efficient numerical methods to solve the reformulated problems. We believe that these new methods will allow the reader to solve important problems.

Vibration with Control

Author : Daniel J. Inman
Publisher : John Wiley & Sons
ISBN 13 : 0470010525
Total Pages : 391 pages
Book Rating : 4.4/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Vibration with Control by : Daniel J. Inman

Download or read book Vibration with Control written by Daniel J. Inman and published by John Wiley & Sons. This book was released on 2006-11-02 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers are becoming increasingly aware of the problems caused by vibration in engineering design, particularly in the areas of structural health monitoring and smart structures. Vibration is a constant problem as it can impair performance and lead to fatigue, damage and the failure of a structure. Control of vibration is a key factor in preventing such detrimental results. This book presents a homogenous treatment of vibration by including those factors from control that are relevant to modern vibration analysis, design and measurement. Vibration and control are established on a firm mathematical basis and the disciplines of vibration, control, linear algebra, matrix computations, and applied functional analysis are connected. Key Features: Assimilates the discipline of contemporary structural vibration with active control Introduces the use of Matlab into the solution of vibration and vibration control problems Provides a unique blend of practical and theoretical developments Contains examples and problems along with a solutions manual and power point presentations Vibration with Control is an essential text for practitioners, researchers, and graduate students as it can be used as a reference text for its complex chapters and topics, or in a tutorial setting for those improving their knowledge of vibration and learning about control for the first time. Whether or not you are familiar with vibration and control, this book is an excellent introduction to this emerging and increasingly important engineering discipline.

Chebyshev and Fourier Spectral Methods

Author : John P. Boyd
Publisher : Courier Corporation
ISBN 13 : 0486411834
Total Pages : 690 pages
Book Rating : 4.4/5 (864 download)

DOWNLOAD NOW!

Book Synopsis Chebyshev and Fourier Spectral Methods by : John P. Boyd

Download or read book Chebyshev and Fourier Spectral Methods written by John P. Boyd and published by Courier Corporation. This book was released on 2001-12-03 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.