Duality System in Applied Mechanics and Optimal Control is popular PDF and ePub book, written by Wan-Xie Zhong in 2006-04-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Duality System in Applied Mechanics and Optimal Control can be Read Online from any device for your convenience.

Duality System in Applied Mechanics and Optimal Control Book PDF Summary

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.

Detail Book of Duality System in Applied Mechanics and Optimal Control PDF

Duality System in Applied Mechanics and Optimal Control
  • Author : Wan-Xie Zhong
  • Release : 11 April 2006
  • Publisher : Springer Science & Business Media
  • ISBN : 9781402078811
  • Genre : Mathematics
  • Total Page : 467 pages
  • Language : English
  • PDF File Size : 7,8 Mb

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