Duality System in Applied Mechanics and Optimal Control
Duality System in Applied Mechanics and Optimal Control

Author: Wan-Xie Zhong

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 467

ISBN-13: 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.

Duality System in Applied Mechanics and Optimal Control
Duality System in Applied Mechanics and Optimal Control

Author: Wan-Xie Zhong

Publisher: Springer

Published: 2013-05-05

Total Pages: 456

ISBN-13: 9781475779165

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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.

Symplectic Pseudospectral Methods for Optimal Control
Symplectic Pseudospectral Methods for Optimal Control

Author: Xinwei Wang

Publisher: Springer Nature

Published: 2020-10-16

Total Pages: 178

ISBN-13: 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

Author: Elimhan N Mahmudov

Publisher: Elsevier

Published: 2011-08-25

Total Pages: 396

ISBN-13: 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

Advances in Computational Modeling and Simulation
Advances in Computational Modeling and Simulation

Author: Ran Guo

Publisher: Trans Tech Publications Ltd

Published: 2013-10-15

Total Pages: 1869

ISBN-13: 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

Control Of Nonlinear Distributed Parameter Systems
Control Of Nonlinear Distributed Parameter Systems

Author: Goong Chen

Publisher: CRC Press

Published: 2001-03-14

Total Pages: 382

ISBN-13: 9780203904190

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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

Calculus of Variations and Optimal Control Theory
Calculus of Variations and Optimal Control Theory

Author: Daniel Liberzon

Publisher: Princeton University Press

Published: 2012

Total Pages: 255

ISBN-13: 0691151873

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This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control

Dynamic Optimization, Second Edition
Dynamic Optimization, Second Edition

Author: Morton I. Kamien

Publisher: Courier Corporation

Published: 2013-04-17

Total Pages: 402

ISBN-13: 0486310280

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Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.