Algebraic And Geometric Methods In Nonlinear Control Theory

Download Algebraic And Geometric Methods In Nonlinear Control Theory full books in PDF, epub, and Kindle. Read online Algebraic And Geometric Methods In Nonlinear Control Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Algebraic and Geometric Methods in Nonlinear Control Theory

Author : M. Fliess
Publisher : Springer Science & Business Media
ISBN 13 : 9400947062
Total Pages : 630 pages
Book Rating : 4.4/5 (9 download)

DOWNLOAD NOW!

Book Synopsis Algebraic and Geometric Methods in Nonlinear Control Theory by : M. Fliess

Download or read book Algebraic and Geometric Methods in Nonlinear Control Theory written by M. Fliess and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point"of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; ihe Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras ·are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Algebraic and Differential Methods for Nonlinear Control Theory

Author : Rafael Martínez-Guerra
Publisher : Springer
ISBN 13 : 3030120252
Total Pages : 196 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Algebraic and Differential Methods for Nonlinear Control Theory by : Rafael Martínez-Guerra

Download or read book Algebraic and Differential Methods for Nonlinear Control Theory written by Rafael Martínez-Guerra and published by Springer. This book was released on 2019-01-30 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite different from the traditional approaches to the subject matter. This text begins with the study of elementary set and map theory. Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space. Homomorphisms and Ideals are dealt with as well at this stage. Chapter 4 is devoted to the theory of matrices and systems of linear equations. Chapter 5 gives some information on permutations, determinants and the inverse of a matrix. Chapter 6 tackles vector spaces over a field, Chapter 7 treats linear maps resp. linear transformations, and in addition the application in linear control theory of some abstract theorems such as the concept of a kernel, the image and dimension of vector spaces are illustrated. Chapter 8 considers the diagonalization of a matrix and their canonical forms. Chapter 9 provides a brief introduction to elementary methods for solving differential equations and, finally, in Chapter 10, nonlinear control theory is introduced from the point of view of differential algebra.

Nonlinear Control Systems

Author : Alberto Isidori
Publisher : Springer Science & Business Media
ISBN 13 : 1846286158
Total Pages : 557 pages
Book Rating : 4.8/5 (462 download)

DOWNLOAD NOW!

Book Synopsis Nonlinear Control Systems by : Alberto Isidori

Download or read book Nonlinear Control Systems written by Alberto Isidori and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.

Algebraic Methods for Nonlinear Control Systems

Author : Giuseppe Conte
Publisher : Springer Science & Business Media
ISBN 13 : 184628595X
Total Pages : 183 pages
Book Rating : 4.8/5 (462 download)

DOWNLOAD NOW!

Book Synopsis Algebraic Methods for Nonlinear Control Systems by : Giuseppe Conte

Download or read book Algebraic Methods for Nonlinear Control Systems written by Giuseppe Conte and published by Springer Science & Business Media. This book was released on 2007-01-19 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students. It is the first book dealing with the linear-algebraic approach to nonlinear control systems in such a detailed and extensive fashion. It provides a complementary approach to the more traditional differential geometry and deals more easily with several important characteristics of nonlinear systems.

Cartanian Geometry, Nonlinear Waves, and Control Theory

Author : Robert Hermann
Publisher :
ISBN 13 : 9780915692279
Total Pages : 526 pages
Book Rating : 4.6/5 (922 download)

DOWNLOAD NOW!

Book Synopsis Cartanian Geometry, Nonlinear Waves, and Control Theory by : Robert Hermann

Download or read book Cartanian Geometry, Nonlinear Waves, and Control Theory written by Robert Hermann and published by . This book was released on 1979 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Control Systems

Author : G. Conte
Publisher : Springer
ISBN 13 : 9781447139676
Total Pages : 168 pages
Book Rating : 4.1/5 (396 download)

DOWNLOAD NOW!

Book Synopsis Nonlinear Control Systems by : G. Conte

Download or read book Nonlinear Control Systems written by G. Conte and published by Springer. This book was released on 2014-03-12 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique and alternative approach to the study of nonlinear control systems, with applications. The approach presented is based on the use of algebraic methods which are intrinsically linear, rather than differential geometric methods, which are more commonly found in other reference works on the subject. This allows the exposition to remain simple from a mathematical point of view, and accessible for everyone who has a good understanding of linear control theory. The book is divided into the following three parts: Part 1 is devoted to mathematical preliminaries and to the development of tools and methods for system analysis. Part 2 is concerned with solving specific control problems, including disturbance decoupling, non-interactive control, model matching and feedback linearization problems. Part 3 introduces differential algebraic notions and discusses their applications to nonlinear control and system theory. With numerous examples used to illustrate theoretical results, this self-contained and comprehensive volume will be of interest to all those who have a good basic knowledge of standard linear control systems.

Nonlinear Control Systems II

Author : Alberto Isidori
Publisher : Springer Science & Business Media
ISBN 13 : 1447105494
Total Pages : 300 pages
Book Rating : 4.4/5 (471 download)

DOWNLOAD NOW!

Book Synopsis Nonlinear Control Systems II by : Alberto Isidori

Download or read book Nonlinear Control Systems II written by Alberto Isidori and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eagerly awaited follow-up to Nonlinear Control Systems incorporates recent advances in the design of feedback laws, for the purpose of globally stabilizing nonlinear systems via state or output feedback. The author is one of the most prominent researchers in the field.

Geometric Methods in System Theory

Author : D.Q. Mayne
Publisher : Springer Science & Business Media
ISBN 13 : 9401026750
Total Pages : 322 pages
Book Rating : 4.4/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Geometric Methods in System Theory by : D.Q. Mayne

Download or read book Geometric Methods in System Theory written by D.Q. Mayne and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector space-linear theory often gives the wrong insight and thus should not be relied upon.

Geometric Control Theory

Author : Velimir Jurdjevic
Publisher : Cambridge University Press
ISBN 13 : 0521495024
Total Pages : 516 pages
Book Rating : 4.5/5 (214 download)

DOWNLOAD NOW!

Book Synopsis Geometric Control Theory by : Velimir Jurdjevic

Download or read book Geometric Control Theory written by Velimir Jurdjevic and published by Cambridge University Press. This book was released on 1997 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled. This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the book deals with the issue of being able to steer the system from any point of departure to any desired destination. The second part deals with optimal control, the question of finding the best possible course. An overlap with mathematical physics is demonstrated by the Maximum principle, a fundamental principle of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. Applications are drawn from geometry, mechanics, and control of dynamical systems. The geometric language in which the results are expressed allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.

Algebraic Methods for Nonlinear Control Systems

Author : Giuseppe Conte
Publisher : Springer
ISBN 13 : 9781849966252
Total Pages : 178 pages
Book Rating : 4.9/5 (662 download)

DOWNLOAD NOW!

Book Synopsis Algebraic Methods for Nonlinear Control Systems by : Giuseppe Conte

Download or read book Algebraic Methods for Nonlinear Control Systems written by Giuseppe Conte and published by Springer. This book was released on 2010-10-19 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained introduction to algebraic control for nonlinear systems suitable for researchers and graduate students. It is the first book dealing with the linear-algebraic approach to nonlinear control systems in such a detailed and extensive fashion. It provides a complementary approach to the more traditional differential geometry and deals more easily with several important characteristics of nonlinear systems.

Methods of Algebraic Geometry in Control Theory: Part II

Author : Peter Falb
Publisher : Springer
ISBN 13 : 3319965743
Total Pages : 390 pages
Book Rating : 4.3/5 (199 download)

DOWNLOAD NOW!

Book Synopsis Methods of Algebraic Geometry in Control Theory: Part II by : Peter Falb

Download or read book Methods of Algebraic Geometry in Control Theory: Part II written by Peter Falb and published by Springer. This book was released on 2018-09-14 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An introduction to the ideas of algebraic geometry in the motivated context of system theory." This describes this two volume work which has been specifically written to serve the needs of researchers and students of systems, control, and applied mathematics. Without sacrificing mathematical rigor, the author makes the basic ideas of algebraic geometry accessible to engineers and applied scientists. The emphasis is on constructive methods and clarity rather than on abstraction. While familiarity with Part I is helpful, it is not essential, since a considerable amount of relevant material is included here. Part I, Scalar Linear Systems and Affine Algebraic Geometry, contains a clear presentation, with an applied flavor , of the core ideas in the algebra-geometric treatment of scalar linear system theory. Part II extends the theory to multivariable systems. After delineating limitations of the scalar theory through carefully chosen examples, the author introduces seven representations of a multivariable linear system and establishes the major results of the underlying theory. Of key importance is a clear, detailed analysis of the structure of the space of linear systems including the full set of equations defining the space. Key topics also covered are the Geometric Quotient Theorem and a highly geometric analysis of both state and output feedback. Prerequisites are the basics of linear algebra, some simple topological notions, the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises, which are an integral part of the exposition throughout, combined with an index and extensive bibliography of related literature make this a valuable classroom tool or good self-study resource. The present, softcover reprint is designed to make this classic textbook available to a wider audience. "The exposition is extremely clear. In order to motivate the general theory, the author presents a number of examples of two or three input-, two-output systems in detail. I highly recommend this excellent book to all those interested in the interplay between control theory and algebraic geometry." —Publicationes Mathematicae, Debrecen "This book is the multivariable counterpart of Methods of Algebraic Geometry in Control Theory, Part I.... In the first volume the simpler single-input–single-output time-invariant linear systems were considered and the corresponding simpler affine algebraic geometry was used as the required prerequisite. Obviously, multivariable systems are more difficult and consequently the algebraic results are deeper and less transparent, but essential in the understanding of linear control theory.... Each chapter contains illustrative examples throughout and terminates with some exercises for further study." —Mathematical Reviews

Algebraic Geometry For Robotics And Control Theory

Author : Laura Menini
Publisher : World Scientific
ISBN 13 : 1800610475
Total Pages : 615 pages
Book Rating : 4.8/5 (6 download)

DOWNLOAD NOW!

Book Synopsis Algebraic Geometry For Robotics And Control Theory by : Laura Menini

Download or read book Algebraic Geometry For Robotics And Control Theory written by Laura Menini and published by World Scientific. This book was released on 2021-09-02 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of inexpensive and fast computers, coupled with the discovery of efficient algorithms for dealing with polynomial equations, has enabled exciting new applications of algebraic geometry and commutative algebra. Algebraic Geometry for Robotics and Control Theory shows how tools borrowed from these two fields can be efficiently employed to solve relevant problem arising in robotics and control theory.After a brief introduction to various algebraic objects and techniques, the book first covers a wide variety of topics concerning control theory, robotics, and their applications. Specifically this book shows how these computational and theoretical methods can be coupled with classical control techniques to: solve the inverse kinematics of robotic arms; design observers for nonlinear systems; solve systems of polynomial equalities and inequalities; plan the motion of mobile robots; analyze Boolean networks; solve (possibly, multi-objective) optimization problems; characterize the robustness of linear; time-invariant plants; and certify positivity of polynomials.

Essays on Control

Author : H.L. Trentelman
Publisher : Springer Science & Business Media
ISBN 13 : 1461203139
Total Pages : 440 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Essays on Control by : H.L. Trentelman

Download or read book Essays on Control written by H.L. Trentelman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the text of the plenary lectures and the mini-courses of the European Control Conference (ECC'93) held in Groningen, the Netherlands, June 2S-July 1, 1993. However, the book is not your usu al conference proceedings. Instead, the authors took this occasion to take a broad overview of the field of control and discuss its development both from a theoretical as well as from an engineering perpective. The first essay is by the key-note speaker ofthe conference, A.G.J. Mac Farlane. It consists of a non-technical discussion of information processing and knowledge acquisition as the key features of control engineering tech nology. The next six articles are accounts of the plenary addresses. The contribution by R.W. Brockett concerns a mathematical framework for modelling motion control, a central question in robotics and vision. In the paper by M. Morari the engineering and the economic relevance of chemical process control are considered, in particular statistical quality control and the control of systems with constraints. The article by A.C.P.M. Backx is written from an industrial perspec tive. The author is director of an engineering consulting firm involved in the design of industrial control equipment. Specifically, the possibility of obtaining high performance and reliable controllers by modelling, identifi cation, and optimizing industrial processes is discussed.

Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications

Author : A. Anzaldo-Meneses
Publisher : World Scientific
ISBN 13 : 9810248415
Total Pages : 495 pages
Book Rating : 4.8/5 (12 download)

DOWNLOAD NOW!

Book Synopsis Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications by : A. Anzaldo-Meneses

Download or read book Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications written by A. Anzaldo-Meneses and published by World Scientific. This book was released on 2002 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concerns contemporary trends in nonlinear geometric control theory and its applications.

Geometric Control of Mechanical Systems

Author : Francesco Bullo
Publisher : Springer
ISBN 13 : 1489972765
Total Pages : 727 pages
Book Rating : 4.4/5 (899 download)

DOWNLOAD NOW!

Book Synopsis Geometric Control of Mechanical Systems by : Francesco Bullo

Download or read book Geometric Control of Mechanical Systems written by Francesco Bullo and published by Springer. This book was released on 2019-06-12 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.

Methods of Algebraic Geometry in Control Theory: Part II

Author : Peter Falb
Publisher : Birkhäuser
ISBN 13 : 9780817641139
Total Pages : 408 pages
Book Rating : 4.6/5 (411 download)

DOWNLOAD NOW!

Book Synopsis Methods of Algebraic Geometry in Control Theory: Part II by : Peter Falb

Download or read book Methods of Algebraic Geometry in Control Theory: Part II written by Peter Falb and published by Birkhäuser. This book was released on 1999 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties of the solutions of systems of algebraic equations. The aim of this book is to provide access to the methods of algebraic geometry for engineers and applied scientists through the motivated context of control theory" .* The development which culminated with this volume began over twenty-five years ago with a series of lectures at the control group of the Lund Institute of Technology in Sweden. I have sought throughout to strive for clarity, often using constructive methods and giving several proofs of a particular result as well as many examples. The first volume dealt with the simplest control systems (i.e., single input, single output linear time-invariant systems) and with the simplest algebraic geometry (i.e., affine algebraic geometry). While this is quite satisfactory and natural for scalar systems, the study of multi-input, multi-output linear time invariant control systems requires projective algebraic geometry. Thus, this second volume deals with multi-variable linear systems and pro jective algebraic geometry. The results are deeper and less transparent, but are also quite essential to an understanding of linear control theory. A review of * From the Preface to Part 1. viii Preface the scalar theory is included along with a brief summary of affine algebraic geometry (Appendix E).

Methods of Algebraic Geometry in Control Theory: Part I

Author : Peter Falb
Publisher : Birkhäuser
ISBN 13 : 9781468492217
Total Pages : 0 pages
Book Rating : 4.4/5 (922 download)

DOWNLOAD NOW!

Book Synopsis Methods of Algebraic Geometry in Control Theory: Part I by : Peter Falb

Download or read book Methods of Algebraic Geometry in Control Theory: Part I written by Peter Falb and published by Birkhäuser. This book was released on 2013-09-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties of the solutions of systems of algebraic equations. The aim of these notes is to provide access to the methods of algebraic geometry for engineers and applied scientists through the motivated context of control theory. I began the development of these notes over fifteen years ago with a series of lectures given to the Control Group at the Lund Institute of Technology in Sweden. Over the following years, I presented the material in courses at Brown several times and must express my appreciation for the feedback (sic!) received from the students. I have attempted throughout to strive for clarity, often making use of constructive methods and giving several proofs of a particular result. Since algebraic geometry draws on so many branches of mathematics and can be dauntingly abstract, it is not easy to convey its beauty and utility to those interested in applications. I hope at least to have stirred the reader to seek a deeper understanding of this beauty and utility in control theory. The first volume dea1s with the simplest control systems (i. e. single input, single output linear time-invariant systems) and with the simplest algebraic geometry (i. e. affine algebraic geometry).