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RAK
Title: Duality System in Applied Mechanics and Optimal Control ([EBook] /) / by Wan-Xie Zhong. Dewey Class: 519 Author: Zhong, Wan-Xie. Publication: Boston, MA : : Springer US,, 2004. Other name(s): SpringerLink (Online service) Physical Details: XIII, 456 p. : online resource. Series: Advances in Mechanics and Mathematics ;; 5 ISBN: 9781402078811 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) 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. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
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