Mathematical Control And Numerical Applications

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Mathematical Control Theory

Author : Eduardo D. Sontag
Publisher : Springer Science & Business Media
ISBN 13 : 1461205778
Total Pages : 543 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Control Theory by : Eduardo D. Sontag

Download or read book Mathematical Control Theory written by Eduardo D. Sontag and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.

Mathematical Control and Numerical Applications

Author : Abdeljalil Nachaoui
Publisher : Springer Nature
ISBN 13 : 3030834425
Total Pages : 168 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematical Control and Numerical Applications by : Abdeljalil Nachaoui

Download or read book Mathematical Control and Numerical Applications written by Abdeljalil Nachaoui and published by Springer Nature. This book was released on 2021-10-30 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some sufficient mathematical content with expressive result. The aim of JANO13 is to bring together scientists to discuss their research in all the aspects of mathematics and their applications to different scientific discipline. The main topics of the conference is partial differential equations, mathematical control, numerical analysis and computer science. The conference is interested in recent developments on numerical analysis and real applications in computer science. The latter is viewed as a dynamic branch on the interface of mathematics and informatics that has been growing rapidly over the past several decades. However, its mathematical modelling and interpretation are still not well-explained and need much more clarifications. The main contributions of this book are to give some sufficient mathematical content with expressive results. As a growing field, it is gaining a lot of attention both in media and in the industry world, which will attract the interest of readers from different scientist disciplines.

Mathematical Control and Numerical Applications

Author : Abdeljalil Nachaoui
Publisher :
ISBN 13 : 9783030834432
Total Pages : 0 pages
Book Rating : 4.8/5 (344 download)

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Book Synopsis Mathematical Control and Numerical Applications by : Abdeljalil Nachaoui

Download or read book Mathematical Control and Numerical Applications written by Abdeljalil Nachaoui and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some sufficient mathematical content with expressive result. The aim of JANO13 is to bring together scientists to discuss their research in all the aspects of mathematics and their applications to different scientific discipline. The main topics of the conference is partial differential equations, mathematical control, numerical analysis and computer science. The conference is interested in recent developments on numerical analysis and real applications in computer science. The latter is viewed as a dynamic branch on the interface of mathematics and informatics that has been growing rapidly over the past several decades. However, its mathematical modelling and interpretation are still not well-explained and need much more clarifications. The main contributions of this book are to give some sufficient mathematical content with expressive results. As a growing field, it is gaining a lot of attention both in media and in the industry world, which will attract the interest of readers from different scientist disciplines.

Numerical Methods for Optimal Control Problems

Author : Maurizio Falcone
Publisher : Springer
ISBN 13 : 3030019594
Total Pages : 275 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Numerical Methods for Optimal Control Problems by : Maurizio Falcone

Download or read book Numerical Methods for Optimal Control Problems written by Maurizio Falcone and published by Springer. This book was released on 2019-01-26 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems, in order to optimize some measure of their performance. Started in the 60's under the pressure of the "space race" between the US and the former USSR, the field now has a far wider scope, and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and management of financial markets. These emerging applications require more and more efficient numerical methods for their solution, a very difficult task due the huge number of variables. The chapters of this volume give an up-to-date presentation of several recent methods in this area including fast dynamic programming algorithms, model predictive control and max-plus techniques. This book is addressed to researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications.

Computational Mathematics, Numerical Analysis and Applications

Author : Mariano Mateos
Publisher : Springer
ISBN 13 : 331949631X
Total Pages : 254 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Computational Mathematics, Numerical Analysis and Applications by : Mariano Mateos

Download or read book Computational Mathematics, Numerical Analysis and Applications written by Mariano Mateos and published by Springer. This book was released on 2017-08-03 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical Linear Algebra, Optimal Control of Partial Differential Equations and Quantum Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses. The second part features the extended abstracts of selected research work presented by the students during the School. It highlights new results and applications in Computational Algebra, Fluid Mechanics, Chemical Kinetics and Biomedicine, among others, offering interested researchers a convenient reference guide to these latest advances.

Geometric and Numerical Optimal Control

Author : Bernard Bonnard
Publisher : Springer
ISBN 13 : 3319947915
Total Pages : 108 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Geometric and Numerical Optimal Control by : Bernard Bonnard

Download or read book Geometric and Numerical Optimal Control written by Bernard Bonnard and published by Springer. This book was released on 2018-07-27 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to techniques of geometric optimal control as well as the exposure and applicability of adapted numerical schemes. It is based on two real-world applications, which have been the subject of two current academic research programs and motivated by industrial use – the design of micro-swimmers and the contrast problem in medical resonance imaging. The recently developed numerical software has been applied to the cases studies presented here. The book is intended for use at the graduate and Ph.D. level to introduce students from applied mathematics and control engineering to geometric and computational techniques in optimal control.

An Introduction to Optimal Control Problems in Life Sciences and Economics

Author : Sebastian Aniţa
Publisher : Springer Science & Business Media
ISBN 13 : 0817680985
Total Pages : 232 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis An Introduction to Optimal Control Problems in Life Sciences and Economics by : Sebastian Aniţa

Download or read book An Introduction to Optimal Control Problems in Life Sciences and Economics written by Sebastian Aniţa and published by Springer Science & Business Media. This book was released on 2011-05-05 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining control theory and modeling, this textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences. Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems. An elementary presentation of advanced concepts, proofs to introduce new ideas, and carefully presented MATLAB® programs help foster an understanding of the basics, but also lead the way to new, independent research. With minimal prerequisites and exercises in each chapter, this work serves as an excellent textbook and reference for graduate and advanced undergraduate students, researchers, and practitioners in mathematics, physics, engineering, computer science, as well as biology, biotechnology, economics, and finance.

Optimal Control of Partial Differential Equations

Author : Andrea Manzoni
Publisher : Springer Nature
ISBN 13 : 3030772268
Total Pages : 507 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Optimal Control of Partial Differential Equations by : Andrea Manzoni

Download or read book Optimal Control of Partial Differential Equations written by Andrea Manzoni and published by Springer Nature. This book was released on 2022-01-01 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes of OCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.

Formulation and Numerical Solution of Quantum Control Problems

Author : Alfio Borzi
Publisher : SIAM
ISBN 13 : 1611974836
Total Pages : 396 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Formulation and Numerical Solution of Quantum Control Problems by : Alfio Borzi

Download or read book Formulation and Numerical Solution of Quantum Control Problems written by Alfio Borzi and published by SIAM. This book was released on 2017-07-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr?dinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose?Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. ??

Recent Advances in Differential Equations and Applications

Author : Juan Luis García Guirao
Publisher : Springer
ISBN 13 : 3030003418
Total Pages : 244 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Recent Advances in Differential Equations and Applications by : Juan Luis García Guirao

Download or read book Recent Advances in Differential Equations and Applications written by Juan Luis García Guirao and published by Springer. This book was released on 2019-01-04 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.

Control Perspectives on Numerical Algorithms and Matrix Problems

Author : Amit Bhaya
Publisher : SIAM
ISBN 13 : 9780898718669
Total Pages : 297 pages
Book Rating : 4.7/5 (186 download)

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Book Synopsis Control Perspectives on Numerical Algorithms and Matrix Problems by : Amit Bhaya

Download or read book Control Perspectives on Numerical Algorithms and Matrix Problems written by Amit Bhaya and published by SIAM. This book was released on 2006-01-01 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding. This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached from, and benefit from, a control perspective.

Applied Numerical Linear Algebra

Author : James W. Demmel
Publisher : SIAM
ISBN 13 : 0898713897
Total Pages : 426 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Applied Numerical Linear Algebra by : James W. Demmel

Download or read book Applied Numerical Linear Algebra written by James W. Demmel and published by SIAM. This book was released on 1997-08-01 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.

Optimal Control

Author : William W. Hager
Publisher : Springer Science & Business Media
ISBN 13 : 1475760957
Total Pages : 529 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Optimal Control by : William W. Hager

Download or read book Optimal Control written by William W. Hager and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: February 27 - March 1, 1997, the conference Optimal Control: The ory, Algorithms, and Applications took place at the University of Florida, hosted by the Center for Applied Optimization. The conference brought together researchers from universities, industry, and government laborato ries in the United States, Germany, Italy, France, Canada, and Sweden. There were forty-five invited talks, including seven talks by students. The conference was sponsored by the National Science Foundation and endorsed by the SIAM Activity Group on Control and Systems Theory, the Mathe matical Programming Society, the International Federation for Information Processing (IFIP), and the International Association for Mathematics and Computers in Simulation (IMACS). Since its inception in the 1940s and 1950s, Optimal Control has been closely connected to industrial applications, starting with aerospace. The program for the Gainesville conference, which reflected the rich cross-disci plinary flavor of the field, included aerospace applications as well as both novel and emerging applications to superconductors, diffractive optics, non linear optics, structural analysis, bioreactors, corrosion detection, acoustic flow, process design in chemical engineering, hydroelectric power plants, sterilization of canned foods, robotics, and thermoelastic plates and shells. The three days of the conference were organized around the three confer ence themes, theory, algorithms, and applications. This book is a collection of the papers presented at the Gainesville conference. We would like to take this opportunity to thank the sponsors and participants of the conference, the authors, the referees, and the publisher for making this volume possible.

Numerical Control

Author : P. Bézier
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (658 download)

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Book Synopsis Numerical Control by : P. Bézier

Download or read book Numerical Control written by P. Bézier and published by . This book was released on 1970 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Control Theory

Author : Jerzy Zabczyk
Publisher : Springer Nature
ISBN 13 : 3030447782
Total Pages : 347 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Mathematical Control Theory by : Jerzy Zabczyk

Download or read book Mathematical Control Theory written by Jerzy Zabczyk and published by Springer Nature. This book was released on 2020-06-20 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, the presentation requires only a knowledge of basic facts from linear algebra, differential equations, and calculus. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems. This second edition includes new chapters that introduce a variety of topics, such as controllability with vanishing energy, boundary control systems, and delayed systems. With additional proofs, theorems, results, and a substantially larger index, this new edition will be an invaluable resource for students and researchers of control theory. Mathematical Control Theory: An Introduction will be ideal for a beginning graduate course in mathematical control theory, or for self-study by professionals needing a complete picture of the mathematical theory that underlies the applications of control theory. From reviews of the first edition: At last! We did need an introductory textbook on control which can be read, understood, and enjoyed by anyone. Gian-Carlo Rota, The Bulletin of Mathematics Books It covers a remarkable number of topics...The exposition is excellent, and the book is a joy to read. A novel one-semester course covering both linear and nonlinear systems could be given...The book is an excellent one for introducing a mathematician to control theory. Bulletin of the AMS Indeed, for mathematicians who look for the basic ideas or a general picture about the main branches of control theory, I believe this book can provide an excellent bridge to this area. IEEE Control Systems Magazine

Applications to Regular and Bang-Bang Control

Author : Nikolai P. Osmolovskii
Publisher : SIAM
ISBN 13 : 9781611972368
Total Pages : 400 pages
Book Rating : 4.9/5 (723 download)

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Book Synopsis Applications to Regular and Bang-Bang Control by : Nikolai P. Osmolovskii

Download or read book Applications to Regular and Bang-Bang Control written by Nikolai P. Osmolovskii and published by SIAM. This book was released on 2012-01-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory and applications of second-order necessary and sufficient optimality conditions in the calculus of variations and optimal control. The authors develop theory for a control problem with ordinary differential equations subject to boundary conditions of both the equality and inequality type and for mixed state-control constraints of the equality type. The book is distinctive in that necessary and sufficient conditions are given in the form of no-gap conditions; the theory covers broken extremals where the control has finitely many points of discontinuity; and a number of numerical examples in various application areas are fully solved.

Introduction to the Calculus of Variations and Control with Modern Applications

Author : John A. Burns
Publisher : CRC Press
ISBN 13 : 1466571403
Total Pages : 562 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to the Calculus of Variations and Control with Modern Applications by : John A. Burns

Download or read book Introduction to the Calculus of Variations and Control with Modern Applications written by John A. Burns and published by CRC Press. This book was released on 2013-08-28 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions a