Duality System in Applied Mechanics and Optimal Control

Wan-Xie Zhong (Autor)

Buch | Hardcover

456 Seiten

2004
Springer-Verlag New York Inc.
978-1-4020-7880-4 (ISBN)

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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.

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.

Erscheint lt. Verlag	31.5.2004
Reihe/Serie	Advances in Mechanics and Mathematics ; 5
Zusatzinfo	XIII, 456 p.
Verlagsort	New York, NY
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Technik ► Maschinenbau
ISBN-10	1-4020-7880-3 / 1402078803
ISBN-13	978-1-4020-7880-4 / 9781402078804
Zustand	Neuware