Duality System in Applied Mechanics and Optimal Control [electronic resource] /

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.

Bibliographic Details

Main Authors:	Zhong, Wan-Xie. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Boston, MA : Springer US, 2004
Subjects:	Mathematics., Applied mathematics., Engineering mathematics., Calculus of variations., Vibration., Dynamical systems., Dynamics., Mechanical engineering., Applications of Mathematics., Appl.Mathematics/Computational Methods of Engineering., Calculus of Variations and Optimal Control; Optimization., Vibration, Dynamical Systems, Control., Mechanical Engineering.,
Online Access:	http://dx.doi.org/10.1007/b130344
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