Duality System in Applied Mechanics and Op...

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2013
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Advances in Mechanics and Mathematics
Inhalt:	xiii 456 S.
ISBN-13:	9781475779172
ISBN-10:	1475779178
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Wan-Xie Zhong
Hersteller:	Springer Copernicus Springer US, New York, N.Y. Advances in Mechanics and Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 26 mm
Von/Mit:	Wan-Xie Zhong
Erscheinungsdatum:	23.04.2013
Gewicht:	0,709 kg