By Wan-Xie Zhong
A unified method is proposed for utilized mechanics and optimum regulate idea. The Hamilton method method in analytical mechanics is used for eigenvalue difficulties, vibration thought, gyroscopic platforms, structural mechanics, wave-guide, LQ keep an eye on, Kalman filter out, strong keep watch over and so on. All points are defined within the comparable unified technique. Numerical equipment for these kinds of difficulties are supplied and given in meta-language, that are applied simply at the desktop. distinctive integration tools either for preliminary price difficulties and for two-point boundary price difficulties are proposed, which lead to the numerical options of machine precision.
Key positive factors of the textual content contain:
-Unified process according to Hamilton duality method idea and symplectic arithmetic. -Gyroscopic process vibration, eigenvalue difficulties.
-Canonical transformation utilized to non-linear platforms.
-Pseudo-excitation technique for structural random vibrations.
-Precise integration of two-point boundary worth difficulties.
-Wave propagation alongside wave-guides, scattering.
-Precise answer of Riccati differential equations.
-HINFINITY thought of regulate and filter.
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Duality System in Applied Mechanics and Optimal Control (Advances in Mechanics and Mathematics) by Wan-Xie Zhong