株式会社極東書店トップ ＞ 商品一覧 ＞ Duality System in Applied Mechanics and Optimal Control. Softcover reprint of the original 1st ed. 2004.
商品詳細
Duality System in Applied Mechanics and Optimal Control. Softcover reprint of the original 1st ed. 2004.
・ISBN 978-1-4757-7917-2 paper EUR 49.99
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| 著者・編者 | Wan-Xie Zhong, |
|---|---|
| シリーズ | Advances in Mechanics and Mathematics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2013 |
| ページ数 | 456 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-24447＞ |
解説
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.