Duality System In Applied Mechanics And Optimal Control

Author : Wan-Xie Zhong
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 51,5 Mb
Release : 2006-04-11
Category : Mathematics
ISBN : 9781402078811

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Duality System in Applied Mechanics and Optimal Control by Wan-Xie Zhong Pdf

A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.

Author : Wan-Xie Zhong
Publisher : Springer
Page : 456 pages
File Size : 44,8 Mb
Release : 2013-05-05
Category : Mathematics
ISBN : 147577916X

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Duality System in Applied Mechanics and Optimal Control by Wan-Xie Zhong Pdf

A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.

Author : M. W. Yuan
Publisher : 清华大学出版社有限公司
Page : 902 pages
File Size : 49,7 Mb
Release : 2004
Category : Computer-aided design
ISBN : 7302093431

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Computational Mechanics by M. W. Yuan Pdf

Author : Xinwei Wang,Jie Liu,Haijun Peng
Publisher : Springer Nature
Page : 178 pages
File Size : 43,5 Mb
Release : 2020-10-16
Category : Technology & Engineering
ISBN : 9789811534386

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Symplectic Pseudospectral Methods for Optimal Control by Xinwei Wang,Jie Liu,Haijun Peng Pdf

The book focuses on symplectic pseudospectral methods for nonlinear optimal control problems and their applications. Both the fundamental principles and engineering practice are addressed. Symplectic pseudospectral methods for nonlinear optimal control problems with complicated factors (i.e., inequality constraints, state-delay, unspecific terminal time, etc.) are solved under the framework of indirect methods. The methods developed here offer a high degree of computational efficiency and accuracy when compared with popular direct pseudospectral methods. The methods are applied to solve optimal control problems arising in various engineering fields, particularly in path planning problems for autonomous vehicles. Given its scope, the book will benefit researchers, engineers and graduate students in the fields of automatic control, path planning, ordinary differential equations, etc.

Author : Anonim
Publisher : Unknown
Page : 592 pages
File Size : 45,6 Mb
Release : 1974
Category : Mechanics, Applied
ISBN : UCAL:C2682446

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Applied Mechanics Reviews by Anonim Pdf

Author : Goong Chen,Irena Lasiecka,Jianxin Zhou
Publisher : CRC Press
Page : 382 pages
File Size : 54,6 Mb
Release : 2001-03-14
Category : Mathematics
ISBN : 0203904192

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Control Of Nonlinear Distributed Parameter Systems by Goong Chen,Irena Lasiecka,Jianxin Zhou Pdf

An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a

Author : Agnessa Kovaleva
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 43,8 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9783540492580

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Optimal Control of Mechanical Oscillations by Agnessa Kovaleva Pdf

This book explores two important aspects of the optimal control of oscillatory systems: the initiation of optimal oscillatory regimes and control possibilities for random disturbances. The main content of the book is based upon assertions of the optimal control theory and the disturbance theory. All theoretical propositions are illustrated by examples with exact mechanical context. An appendix covers the necessary mathematical prerequisites.

Author : David Yang Gao
Publisher : Springer Science & Business Media
Page : 463 pages
File Size : 43,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475731767

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Duality Principles in Nonconvex Systems by David Yang Gao Pdf

Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.

Author : B. H. V. Topping
Publisher : Unknown
Page : 730 pages
File Size : 45,5 Mb
Release : 2005
Category : Technology & Engineering
ISBN : UOM:39015064741450

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Proceedings of the Tenth International Conference on Civil, Structural and Environmental Engineering Computing by B. H. V. Topping Pdf

Contains the abstracts of the contributed papers presented at the Tenth International Conference on Civil, Structural and Environmental Engineering Computing, held in Rome, Italy, 30 August - 2 September 2005. The length papers are available in electronic format on the accompanying CD-ROM.

Author : Anonim
Publisher : Unknown
Page : 864 pages
File Size : 43,9 Mb
Release : 2004
Category : American literature
ISBN : UOM:39015066043194

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American Book Publishing Record by Anonim Pdf

Author : K.A. Lurie
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 52,8 Mb
Release : 2013-11-21
Category : Science
ISBN : 9781475792621

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Applied Optimal Control Theory of Distributed Systems by K.A. Lurie Pdf

This book represents an extended and substantially revised version of my earlierbook, Optimal Control in Problems ofMathematical Physics,originally published in Russian in 1975. About 60% of the text has been completely revised and major additions have been included which have produced a practically new text. My aim was to modernize the presentation but also to preserve the original results, some of which are little known to a Western reader. The idea of composites, which is the core of the modern theory of optimization, was initiated in the early seventies. The reader will find here its implementation in the problem of optimal conductivity distribution in an MHD-generatorchannel flow.Sincethen it has emergedinto an extensive theory which is undergoing a continuous development. The book does not pretend to be a textbook, neither does it offer a systematic presentation of the theory. Rather, it reflects a concept which I consider as fundamental in the modern approach to optimization of dis tributed systems. Bibliographical notes,though extensive, do not pretend to be exhaustive as well. My thanks are due to ProfessorJean-Louis Armand and ProfessorWolf Stadler whose friendly assistance in translating and polishing the text was so valuable. I am indebted to Mrs. Kathleen Durand and Mrs. Colleen Lewis for the hard job of typing large portions of the manuscript.

Author : Sussmann
Publisher : Routledge
Page : 277 pages
File Size : 48,7 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351428323

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Nonlinear Controllability and Optimal Control by Sussmann Pdf

This outstanding reference presents current, state-of-the-art research on importantproblems of finite-dimensional nonlinear optimal control and controllability theory. Itpresents an overview of a broad variety of new techniques useful in solving classicalcontrol theory problems.Written and edited by renowned mathematicians at the forefront of research in thisevolving field, Nonlinear Controllability and Optimal Control providesdetailed coverage of the construction of solutions of differential inclusions by means ofdirectionally continuous sections ... Lie algebraic conditions for local controllability... the use of the Campbell-Hausdorff series to derive properties of optimal trajectories... the Fuller phenomenon ... the theory of orbits ... and more.Containing more than 1,300 display equations, this exemplary, instructive reference is aninvaluable source for mathematical researchers and applied mathematicians, electrical andelectronics, aerospace, mechanical, control, systems, and computer engineers, and graduatestudents in these disciplines .

Author : Arthur James Wells
Publisher : Unknown
Page : 1264 pages
File Size : 46,7 Mb
Release : 2004
Category : Bibliography, National
ISBN : UOM:39015057956578

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The British National Bibliography by Arthur James Wells Pdf

Author : Anonim
Publisher : Unknown
Page : 666 pages
File Size : 46,7 Mb
Release : 2008
Category : Physics
ISBN : 8210379456XXX

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Canadian Journal of Physics by Anonim Pdf

Author : David G. Hull
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 50,6 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9781475741803

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Optimal Control Theory for Applications by David G. Hull Pdf

The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.