Title: Duality System in Applied Mechanics and Optimal Control (Advances in Mechanics and Mathematics)
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, gryroscopic 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." "This volume is suitable for graduate students and researchers in departments of aero- and astro-nautical engineering, applied mathematics, civil and mechanical engineering. It is also valuable as a reference for practical engineers."--BOOK JACKET.
Subjects: Control theory, Mathematical models, Mathematical optimization, Applied Mechanics, Mechanics, applied, Mechanical engineering, Mathematics, Engineering mathematics, Vibration, Applications of Mathematics, Appl.Mathematics/Computational Methods of Engineering, Calculus of Variations and Optimal Control; Optimization, Vibration, Dynamical Systems, Control