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Advances in Mechanics and Mathematics #5: Duality System in Applied Mechanics and Optimal Control

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Advances in Mechanics and Mathematics #5: Duality System in Applied Mechanics and Optimal Control Cover

 

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Publisher Comments:

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.

Table of Contents

Preface.- Introduction.- 1. Introduction to analytical dynamics.- 2. Vibration theory.- 3. Probability and stochastic processes.- 4. Random vibration of structures.- 5. Elastic system with single continuous coordinate.- 6. Linear optimal control, theory and computation.- Concluding remarks.

Product Details

ISBN:
9781402078804
Author:
Zhong, Wanxie
Publisher:
Springer
Author:
Zhong, WAN-XIE
Author:
Wan-Xie Zhong, Zhong
Subject:
General
Subject:
Engineering - Mechanical
Subject:
Material Science
Subject:
Applied
Subject:
Mechanical
Subject:
Control theory
Subject:
Mechanics, applied
Subject:
Mathematical optimization
Subject:
Materials Science-General
Series:
Advances in Mechanics and Mathematics
Series Volume:
5
Publication Date:
20040531
Binding:
Hardcover
Language:
English
Pages:
456
Dimensions:
9.48x6.46x1.03 in. 1.55 lbs.

Related Subjects

Engineering » Mechanical Engineering » General
Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Applied

Advances in Mechanics and Mathematics #5: Duality System in Applied Mechanics and Optimal Control New Hardcover
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