Global Differential Geometry An Introduction For Control Engineers

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Global Differential Geometry

Author : B. F. Doolin
Publisher : Unknown
Page : 80 pages
File Size : 54,5 Mb
Release : 1982
Category : Control theory
ISBN : STANFORD:36105024719416

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Global Differential Geometry by B. F. Doolin Pdf

Introduction to Differential Geometry for Engineers

Author : Brian F. Doolin,Clyde F. Martin
Publisher : Courier Corporation
Page : 178 pages
File Size : 41,8 Mb
Release : 2012-01-01
Category : Mathematics
ISBN : 9780486488165

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Introduction to Differential Geometry for Engineers by Brian F. Doolin,Clyde F. Martin Pdf

This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry. Suitable for independent study as well as a supplementary text for advanced undergraduate and graduate courses, this volume also constitutes a valuable reference for control, systems, aeronautical, electrical, and mechanical engineers. The treatment's ideas are applied mainly as an introduction to the Lie theory of differential equations and to examine the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, vector fields, exterior algebra, and Lie algebras. An appendix reviews concepts related to vector calculus, including open and closed sets, compactness, continuity, and derivative.

Introduction to Differential Geometry for Engineers

Author : Brian F. Doolin,Clyde F. Martin
Publisher : Unknown
Page : 183 pages
File Size : 42,5 Mb
Release : 2024-06-07
Category : Electronic
ISBN : 060808929X

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Introduction to Differential Geometry for Engineers by Brian F. Doolin,Clyde F. Martin Pdf

NASA Reference Publication

Author : Anonim
Publisher : Unknown
Page : 76 pages
File Size : 48,6 Mb
Release : 1982
Category : Astronautics
ISBN : OSU:32435020936787

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NASA Reference Publication by Anonim Pdf

Introduction to Differential Geometry for Engineers

Author : Brian F. Doolin,Clyde F. Martin
Publisher : Courier Corporation
Page : 178 pages
File Size : 49,6 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486281940

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Introduction to Differential Geometry for Engineers by Brian F. Doolin,Clyde F. Martin Pdf

This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry. Suitable for independent study as well as a supplementary text for advanced undergraduate and graduate courses, this volume also constitutes a valuable reference for control, systems, aeronautical, electrical, and mechanical engineers.The treatment's ideas are applied mainly as an introduction to the Lie theory of differential equations and to examine the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, vector fields, exterior algebra, and Lie algebras. An appendix reviews concepts related to vector calculus, including open and closed sets, compactness, continuity, and derivative.

Geometric Control of Mechanical Systems

Author : Francesco Bullo,Andrew D. Lewis
Publisher : Springer
Page : 727 pages
File Size : 48,8 Mb
Release : 2019-06-12
Category : Science
ISBN : 9781489972767

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Geometric Control of Mechanical Systems by Francesco Bullo,Andrew D. Lewis Pdf

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.

Theory of Control Systems Described by Differential Inclusions

Author : Zhengzhi Han,Xiushan Cai,Jun Huang
Publisher : Springer
Page : 344 pages
File Size : 42,9 Mb
Release : 2016-06-15
Category : Technology & Engineering
ISBN : 9783662492451

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Theory of Control Systems Described by Differential Inclusions by Zhengzhi Han,Xiushan Cai,Jun Huang Pdf

This book provides a brief introduction to the theory of finite dimensional differential inclusions, and deals in depth with control of three kinds of differential inclusion systems. The authors introduce the algebraic decomposition of convex processes, the stabilization of polytopic systems, and observations of Luré systems. They also introduce the elemental theory of finite dimensional differential inclusions, and the properties and designs of the control systems described by differential inclusions. Addressing the material with clarity and simplicity, the book includes recent research achievements and spans all concepts, concluding with a critical mathematical framework. This book is intended for researchers, teachers and postgraduate students in the area of automatic control engineering.

Applied Differential Geometry

Author : Vladimir G. Ivancevic,Tijana T. Ivancevic
Publisher : World Scientific
Page : 1346 pages
File Size : 48,6 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812706140

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Applied Differential Geometry by Vladimir G. Ivancevic,Tijana T. Ivancevic Pdf

This graduate-level monographic textbook treats applied differential geometry from a modern scientific perspective. Co-authored by the originator of the world's leading human motion simulator ? ?Human Biodynamics Engine?, a complex, 264-DOF bio-mechanical system, modeled by differential-geometric tools ? this is the first book that combines modern differential geometry with a wide spectrum of applications, from modern mechanics and physics, via nonlinear control, to biology and human sciences. The book is designed for a two-semester course, which gives mathematicians a variety of applications for their theory and physicists, as well as other scientists and engineers, a strong theory underlying their models.

Computation and Control II

Author : Kenneth L. Bowers,John Lund
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 46,6 Mb
Release : 2013-11-27
Category : Science
ISBN : 9781461204275

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Computation and Control II by Kenneth L. Bowers,John Lund Pdf

This volume contains a collection of papers delivered by the partici pants at the second Conference on Computation and Control held at Mon tana State University in Bozeman, Montana from August 1-7, 1990. The conference, as well as this proceedings, attests to the vitality and cohesion between the control theorist and the numerical analyst that was adver tised by the first Conference on Computation and Control in 1988. The proceedings of that initial conference was published by Birkhiiuser Boston as the first volume of this same series entitled Computation and Control, Proceedings of the Bozeman Conference, Bozeman, Montana, 1988. Control theory and numerical analysis are both, by their very nature, interdisciplinary subjects as evidenced by their interaction with other fields of mathematics and engineering. While it is clear that new control or es timation algorithms and new feedback design methodologies will need to be implemented computationally, it is likewise clear that new problems in computational mathematics arise when implementing a new generation of control algorithms. For these reasons, computational mathematics is mov ing to the forefront in recent developments in modern control theory and conversely control theory and its applications continue to be a fertile area for computationalists. This volume contains a representative cross section of the interdisciplinary blend of analytic and numerical techniques that of ten occur between advanced control design and practical numerical solution of lumped and distributed parameter systems.