Duality System in Applied Mechanics and Optimal Control

Duality System in Applied Mechanics and Optimal Control
Title Duality System in Applied Mechanics and Optimal Control PDF eBook
Author Wan-Xie Zhong
Publisher Springer Science & Business Media
Pages 467
Release 2006-04-11
Genre Mathematics
ISBN 1402078811

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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.

Computational Mechanics

Computational Mechanics
Title Computational Mechanics PDF eBook
Author M. W. Yuan
Publisher 清华大学出版社有限公司
Pages 902
Release 2004
Genre Computer-aided design
ISBN 9787302093435

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Duality System in Applied Mechanics and Optimal Control

Duality System in Applied Mechanics and Optimal Control
Title Duality System in Applied Mechanics and Optimal Control PDF eBook
Author Wan-Xie Zhong
Publisher Springer
Pages 456
Release 2013-05-05
Genre Mathematics
ISBN 9781475779165

Download Duality System in Applied Mechanics and Optimal Control Book in PDF, Epub and Kindle

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.

Symplectic Pseudospectral Methods for Optimal Control

Symplectic Pseudospectral Methods for Optimal Control
Title Symplectic Pseudospectral Methods for Optimal Control PDF eBook
Author Xinwei Wang
Publisher Springer Nature
Pages 178
Release 2020-10-16
Genre Technology & Engineering
ISBN 9811534381

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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.

Approximation and Optimization of Discrete and Differential Inclusions

Approximation and Optimization of Discrete and Differential Inclusions
Title Approximation and Optimization of Discrete and Differential Inclusions PDF eBook
Author Elimhan N Mahmudov
Publisher Elsevier
Pages 396
Release 2011-08-25
Genre Mathematics
ISBN 0123884284

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Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions. In addition to including well-recognized results of variational analysis and optimization, the book includes a number of new and important ones Includes practical examples

Applied Mechanics Reviews

Applied Mechanics Reviews
Title Applied Mechanics Reviews PDF eBook
Author
Publisher
Pages 592
Release 1974
Genre Mechanics, Applied
ISBN

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Advances in Computational Modeling and Simulation

Advances in Computational Modeling and Simulation
Title Advances in Computational Modeling and Simulation PDF eBook
Author Ran Guo
Publisher Trans Tech Publications Ltd
Pages 1869
Release 2013-10-15
Genre Technology & Engineering
ISBN 3038262870

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Selected, peer reviewed papers from the 2nd International Conference on Advances in Computational Modeling and Simulation (ACMS 2013), July 17-19, 2013, Kunming, China