Constructive Approaches to Submanifold Stabilization

Constructive Approaches to Submanifold Stabilization PDF

Author: Jan Maximilian Montenbruck

Publisher: Logos Verlag Berlin GmbH

Published: 2016-07-15

Total Pages: 110

ISBN-13: 3832542876

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Submanifold stabilization is the problem of steering a quantity towards a desired submanifold of the space in which it evolves. This is done by controlling the system producing the quantity in an appropriate fashion. In this thesis, methods for explicitly constructing controllers which solve submanifold stabilization problems are proposed. To this end, three distinct approaches are pursued: For control systems modeled by input-affne differential equations, a construction for turning the submanifold into an asymptotically stable invariant set is presented. For controllers which shall stabilize the submanifold with minimal energy consumption, the structure of such optimal controls is investigated. For control systems modeled by input-output relationships, a framework for bounding the integral deviation of the output from the submanifold is proposed.

Nonlinear Control Systems Design 1992

Nonlinear Control Systems Design 1992 PDF

Author: M. Fliess

Publisher: Elsevier

Published: 2016-07-07

Total Pages: 507

ISBN-13: 1483298752

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This volume represents most aspects of the rich and growing field of nonlinear control. These proceedings contain 78 papers, including six plenary lectures, striking a balance between theory and applications. Subjects covered include feedback stabilization, nonlinear and adaptive control of electromechanical systems, nonholonomic systems. Generalized state space systems, algebraic computing in nonlinear systems theory, decoupling, linearization and model-matching and robust control are also covered.

Proceedings of 2017 Chinese Intelligent Automation Conference

Proceedings of 2017 Chinese Intelligent Automation Conference PDF

Author: Zhidong Deng

Publisher: Springer

Published: 2017-10-25

Total Pages: 791

ISBN-13: 9811064458

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The proceedings present selected research papers from the CIAC’17, held in Tianjin, China. The topics include adaptive control, fuzzy control, neural network based control, knowledge based control, hybrid intelligent control, learning control, evolutionary mechanism based control, multi-sensor integration, failure diagnosis, reconfigurable control, and etc. Engineers and researchers from academia, industry, and government can gain valuable insights into solutions combining ideas from multiple disciplines in the field of intelligent automation.

Holomorphic Curves in Low Dimensions

Holomorphic Curves in Low Dimensions PDF

Author: Chris Wendl

Publisher: Springer

Published: 2018-06-28

Total Pages: 294

ISBN-13: 3319913719

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This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three. The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of Lefschetz fibrations and pencils, thus it includes some background on these topics, in addition to a survey of the required analytical results on holomorphic curves. Emphasizing applications rather than technical results, the analytical survey mostly refers to other sources for proofs, while aiming to provide precise statements that are widely applicable, plus some informal discussion of the analytical ideas behind them. The second half of the book then extends this program in two complementary directions: (1) a gentle introduction to Gromov-Witten theory and complete proof of the classification of uniruled symplectic 4-manifolds; and (2) a survey of punctured holomorphic curves and their applications to questions from 3-dimensional contact topology, such as classifying the symplectic fillings of planar contact manifolds. This book will be particularly useful to graduate students and researchers who have basic literacy in symplectic geometry and algebraic topology, and would like to learn how to apply standard techniques from holomorphic curve theory without dwelling more than necessary on the analytical details. This book is also part of the Virtual Series on Symplectic Geometry http://www.springer.com/series/16019

An Introduction to Contact Topology

An Introduction to Contact Topology PDF

Author: Hansjörg Geiges

Publisher: Cambridge University Press

Published: 2008-03-13

Total Pages: 8

ISBN-13: 1139467956

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This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.

Contact and Symplectic Topology

Contact and Symplectic Topology PDF

Author: Frédéric Bourgeois

Publisher: Springer Science & Business Media

Published: 2014-03-10

Total Pages: 538

ISBN-13: 3319020366

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Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.

Analysis and Control of Nonlinear Systems

Analysis and Control of Nonlinear Systems PDF

Author: Jean Levine

Publisher: Springer Science & Business Media

Published: 2009-05-28

Total Pages: 322

ISBN-13: 3642008399

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This book examines control of nonlinear systems. Coverage ranges from mathematical system theory to practical industrial control applications. The author offers web-based videos illustrating some dynamical aspects and case studies in simulation.

Surgery on Compact Manifolds

Surgery on Compact Manifolds PDF

Author: Charles Terence Clegg Wall

Publisher: American Mathematical Soc.

Published: 1999

Total Pages: 321

ISBN-13: 0821809423

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The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.

Knowledge-Based Intelligent Techniques in Industry

Knowledge-Based Intelligent Techniques in Industry PDF

Author: Lakhmi C. Jain

Publisher: CRC Press

Published: 1998-09-28

Total Pages: 350

ISBN-13: 9780849398032

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The successful development and deployment of expert system tools spurred the initial momentum in developing and using intelligent techniques in industry. The brittleness of expert systems and the enormous effort involved in the development and maintenance of knowledge bases prompted researchers to seek friendlier approaches. Neural networks, fuzzy logic, and evolutionary computing tools added a new dimension to the quest for more intelligent tools to supplement the capabilities of expert systems. In one volume, Knowledge-Based Intelligent Techniques in Industry comprehensively brings together the more important developments in the use of intelligent techniques in solving industrial problems. The book's primary readership includes electrical engineers in industry as well as researchers working in computational intelligence research labs - outlining state-of-the-art techniques and cost-effective solutions. Knowledge-Based Intelligent Techniques in Industry singularly reflects the increasing study of computational intelligence techniques for designing and monitoring complex, less predictable electrical or mechanical systems.