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Advances in Mechanics and Mathematics

Duality System in Applied Mechanics and Optimal Control

Authors: Wan-Xie Zhong

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About this book

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.

Reviews

From the reviews of the first edition:

"It is one of the purposes of this book, to ease the studying of applied mechanics. … The book can be used not only in the research or teaching of applied mechanics and optimal control theory, but also as a reference book for practical engineering." (Mihail Megan, Zentralblatt MATH, Vol. 1078, 2006)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-1-4020-7881-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • ISBN 978-1-4020-7880-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA in USD
  • ISBN 978-1-4757-7917-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Duality System in Applied Mechanics and Optimal Control
Authors
Series Title
Advances in Mechanics and Mathematics
Series Volume
5
Copyright
2004
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4020-7881-1
DOI
10.1007/b130344
Hardcover ISBN
978-1-4020-7880-4
Softcover ISBN
978-1-4757-7917-2
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XIII, 456
Topics