Duality System in Applied Mechanics and Optimal Control
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Duality System in Applied Mechanics and Optimal Control

Duality System in Applied Mechanics and Optimal Control


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About the Book

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.


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Product Details
  • ISBN-13: 9781402078804
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 241 mm
  • No of Pages: 456
  • Series Title: Advances in Mechanics and Mathematics
  • Weight: 752 gr
  • ISBN-10: 1402078803
  • Publisher Date: 31 May 2004
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Spine Width: 26 mm
  • Width: 164 mm


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