Duality system in applied mechanics and optimal control [electronic resource]
- 作者： Zhong, Wanxie.
- 其他作者：
- 出版： Boston : Kluwer Academic Publishers
- 叢書名： Advances in mechanics and mathematics ;v. 5
- 主題： Mechanics, Applied--Mathematical models , Control theory , Mathematical optimization
- ISBN： 9781402078811 (electronic bk.) 、 9781402078804 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005042930 | 機讀編目格式
館藏資訊
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.