Duality System in Applied Mechanics and Optimal Control

di Wan-Xie Zhong (Autore)

Springer-Verlag New York Inc., 2013

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.

• Autore: Wan-Xie Zhong
• Editore: Springer-Verlag New York Inc.
• Collana: Advances in Mechanics and Mathematics
• Anno: 2013
• Rilegatura: Paperback / softback
• Pagine: 456 p.
• Dimensioni: 235 x 155 mm
• EAN: 9781475779172

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