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Constructive Approaches to Submanifold Stabilization

Constructive Approaches to Submanifold Stabilization PDF Author: Jan Maximilian Montenbruck
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832542876
Category : Technology & Engineering
Languages : en
Pages : 115

Book Description
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.

Constructive Approaches to Submanifold Stabilization

Constructive Approaches to Submanifold Stabilization PDF Author: Jan Maximilian Montenbruck
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832542876
Category : Technology & Engineering
Languages : en
Pages : 115

Book Description
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
ISBN: 1483298752
Category : Technology & Engineering
Languages : en
Pages : 507

Book Description
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
ISBN: 9811064458
Category : Technology & Engineering
Languages : en
Pages : 769

Book Description
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.

Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 862

Book Description


Holomorphic Curves in Low Dimensions

Holomorphic Curves in Low Dimensions PDF Author: Chris Wendl
Publisher: Springer
ISBN: 3319913719
Category : Mathematics
Languages : en
Pages : 303

Book Description
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

Analysis and Control of Nonlinear Systems

Analysis and Control of Nonlinear Systems PDF Author: Jean Levine
Publisher: Springer Science & Business Media
ISBN: 3642008399
Category : Technology & Engineering
Languages : en
Pages : 322

Book Description
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.
ISBN: 0821809423
Category : Mathematics
Languages : en
Pages : 321

Book Description
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.

Geometric Integration Theory

Geometric Integration Theory PDF Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 0817646795
Category : Mathematics
Languages : en
Pages : 344

Book Description
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

Optimal Transport

Optimal Transport PDF Author: Cédric Villani
Publisher: Springer Science & Business Media
ISBN: 3540710507
Category : Mathematics
Languages : en
Pages : 970

Book Description
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.

Knowledge-Based Intelligent Techniques in Industry

Knowledge-Based Intelligent Techniques in Industry PDF Author: Lakhmi C. Jain
Publisher: CRC Press
ISBN: 9780849398032
Category : Computers
Languages : en
Pages : 350

Book Description
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.