Description: Duality System in Applied Mechanics and Optimal Control Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Wan-Xie Zhong Format: Paperback Publisher: Springer-Verlag New York Inc., United States Imprint: Springer-Verlag New York Inc. ISBN-13: 9781475779172, 978-1475779172 Synopsis 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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Book Title: Duality System in Applied Mechanics and Optimal Control
Number of Pages: 456 Pages
Publication Name: Duality System in Applied Mechanics and Optimal Control
Language: English
Publisher: Springer-Verlag New York Inc.
Item Height: 235 mm
Subject: Engineering & Technology, Mathematics
Publication Year: 2013
Type: Textbook
Item Weight: 718 g
Subject Area: Mechanical Engineering
Author: WAN-Xie Zhong
Item Width: 155 mm
Series: Advances in Mechanics and Mathematics
Format: Paperback