ENGLISH

Duality system in applied mechanics and optimal control

By H.L. Dryden and Th. Von Kármán (Eds.)

Book information

Publisher
Kluwer
Year
1958
ISBN
978-0-12-002005-8
ISSN
0065-2156
Open Library ID
OL8372944M
Language
english
Format
PDF
Filesize
8 MB (8046324 bytes)
Series
Advances in Applied Mechanics 5
Pages
iii-vii, 1-459\471
Library
Kolxo3
Time added
2011-07-22 07:35:22
Автоматизация;Теория автоматического управления (Т

Description

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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