[PDF] Contemporary Trends In Nonlinear Geometric Control Theory And Its Applications eBook

Author : Alfonso Anzaldo-meneses
Publisher : World Scientific
Page : 495 pages
File Size : 10,34 MB
Release : 2002-01-30
Category : Mathematics
ISBN : 9814489468

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Mathematical control theory has evolved from the study of practical problems in engineering and sciences to the elaboration of deep, important concepts in mathematics and applied sciences. This volume concerns contemporary trends in nonlinear geometric control theory and its applications. It is a fine collection of papers presenting new results, relevant open problems, and important applications regarding academic and real-world problems.The book is dedicated to Velimir Jurdjevic whose scientific activity has been influential in the research of many of the authors. It contains a number of articles specially written by colleagues and friends of Vel Jurdjevic, all of them leading applied mathematicians and control theorists. There is also place for surveys on topics of current research which present the state of the art of modern geometric control theory. Finally, the volume contains several new mathematical ideas generated by geometric control theory techniques, which may initiate new directions of research beyond control theory.

Author : Alberto Isidori
Publisher : Springer Science & Business Media
Page : 557 pages
File Size : 41,20 MB
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 1846286158

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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.

Author : Piernicola Bettiol
Publisher : Springer
Page : 242 pages
File Size : 25,78 MB
Release : 2015-09-01
Category : Mathematics
ISBN : 3319069179

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Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problem-solving practice.

Author : Claudio Bonivento
Publisher : Springer
Page : 310 pages
File Size : 26,57 MB
Release : 2007-06-04
Category : Technology & Engineering
ISBN : 3540707018

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This volume is the outcome of the first CASY workshop on "Advances in Control Theory and Applications" which was held at University of Bologna on May 22-26, 2006. It consists of selected contributions by some of the invited speakers and contains recent results in control. The volume is intended for engineers, researchers, and students in control engineering.

Author : Fritz Colonius
Publisher : Springer Science & Business Media
Page : 632 pages
File Size : 21,57 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461213509

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This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.

Author : Henk Nijmeijer
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 28,53 MB
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 1475721013

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This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.

Author : Giovanni Falcone
Publisher : Springer
Page : 368 pages
File Size : 30,44 MB
Release : 2017-09-19
Category : Mathematics
ISBN : 3319621815

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This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.

Author : Gildas Besançon
Publisher : Springer
Page : 234 pages
File Size : 44,8 MB
Release : 2007-10-11
Category : Technology & Engineering
ISBN : 3540735038

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The purpose of this fantastically useful book is to lay out an overview on possible tools for state reconstruction in nonlinear systems. Here, basic observability notions and observer structures are recalled, together with ingredients for advanced designs on this basis. The problem of state reconstruction in dynamical systems, known as observer problem, is crucial for controlling or even merely monitoring processes. For linear systems, the theory has been well established for several years, so this book attempts to tackle the problem for non-linear systems.

Author : David Elliott
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 39,13 MB
Release : 2009-09-01
Category : Science
ISBN : 1402096135

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The mathematical theory of control became a ?eld of study half a century ago in attempts to clarify and organize some challenging practical problems and the methods used to solve them. It is known for the breadth of the mathematics it uses and its cross-disciplinary vigor. Its literature, which can befoundinSection93ofMathematicalReviews,wasatonetimedominatedby the theory of linear control systems, which mathematically are described by linear di?erential equations forced by additive control inputs. That theory led to well-regarded numerical and symbolic computational packages for control analysis and design. Nonlinear control problems are also important; in these either the - derlying dynamical system is nonlinear or the controls are applied in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical work on nonlinear control problems based on di?erential manifold theory, nonlinear analysis, and several other mathematical disciplines. Many of the problems that had been solved in linear control theory, plus others that are new and distinctly nonlinear, have been addressed; some resulting general de?nitions and theorems are adapted in this book to the bilinear case.

Author : Francesco Bullo
Publisher : Springer
Page : 727 pages
File Size : 46,42 MB
Release : 2019-06-12
Category : Science
ISBN : 1489972765

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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.