9781475779172 - Duality System in Applied Mechanics and Optimal Control (Advances in Mechanics and Mathematics, Band 5) von Wan-Xie Zhong, Wan-Xie (4 Ergebnisse)

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Paperback. Zustand: Brand New. 469 pages. 9.25x6.10x1.07 inches. In Stock.

Taschenbuch. Zustand: Neu. Duality System in Applied Mechanics and Optimal Control | Wan-Xie Zhong | Taschenbuch | Advances in Mechanics and Mathematics | xiii | Englisch | 2013 | Springer | EAN 9781475779172 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.