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Field name	Details
Dewey Class	519
Title	Duality System in Applied Mechanics and Optimal Control ([EBook] /) / by Wan-Xie Zhong.
Author	Zhong, Wan-Xie
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : : Springer US, , 2004.
Physical Details	XIII, 456 p. : online resource.
Series	Advances in Mechanics and Mathematics ; 5
ISBN	9781402078811
Summary Note	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.:
Contents note	to analytical dynamics -- Vibration Theory -- Probability and stochastic process -- Random vibration of structures -- Elastic system with single continuous coordinate -- Linear optimal control, theory and computation.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b130344
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Appl.Mathematics/Computational Methods of Engineering . Calculus of variations . Calculus of variations and optimal control; optimization . Dynamical Systems . Dynamics . Engineering mathematics . Mathematics . Mechanical Engineering . Vibration . Vibration, Dynamical Systems, Control . Authors: Zhong, Wan-Xie . Corporate Authors: SpringerLink (Online service) . Series: Advances in Mechanics and Mathematics . Classification: 519 .

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Duality System in Applied Mechanics and Optimal Control

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