Book 5

Wan-Xie ZhongApril 11, 2006

Springer Science & Business MediaA 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.

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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Publisher

Springer Science & Business Media

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Published on

Apr 11, 2006

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Pages

456

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ISBN

9781402078811

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Language

English

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Genres

Mathematics / Applied

Mathematics / Calculus

Mathematics / Functional Analysis

Mathematics / General

Science / Mechanics / Dynamics

Technology & Engineering / Mechanical

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