Duality System in Applied Mechanics and Optimal Control

• Main Author: Zhong, Wan-Xie (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2004.
• Series: Advances in Mechanics and Mathematics ; 5
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Calculus of variations.; Vibration.; Dynamical systems.; Dynamics.; Mechanical engineering.; Applications of Mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Calculus of Variations and Optimal Control; Optimization.; Vibration, Dynamical Systems, Control.; Mechanical Engineering.

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...

Table of Contents:

• 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.