Duality System in Applied Mechanics and Optimal Control (Advances in Mechanics and Mathematics, 5) - Hardcover

WAN-XIE Zhong Zhong Wan-Xie Zhong Wanxie Zhong

Hardcover

ISBN 10: 1402078803 ISBN 13: 9781402078804

Publisher: Springer, 2004

Synopsis

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.

About this title

Review

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)

Edition details

• Publisher: Springer
• Publication date: 2004
• ISBN 10: 1402078803
• ISBN 13: 9781402078804
• Binding: Hardcover
• Language: English
• Number of pages: 469