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Duality System in Applied Mechanics and Optimal Control

Duality System in Applied Mechanics and Optimal Control

Paperback

Series: Advances in Mechanics and Mathematics, Book 5

Technology & EngineeringCalculusGeneral Mathematics

ISBN10: 1475779178
ISBN13: 9781475779172
Publisher: Springer Nature
Published: Apr 23 2013
Pages: 456
Weight: 1.44
Height: 0.95 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics