By Wan-Xie Zhong
A unified technique is proposed for utilized mechanics and optimum regulate thought. The Hamilton approach technique in analytical mechanics is used for eigenvalue difficulties, vibration idea, gyroscopic platforms, structural mechanics, wave-guide, LQ keep watch over, Kalman clear out, powerful regulate and so forth. All features are defined within the similar unified method. Numerical equipment for a lot of these difficulties are supplied and given in meta-language, which are carried out simply at the machine. unique integration tools either for preliminary price difficulties and for two-point boundary price difficulties are proposed, which bring about the numerical suggestions of desktop precision.
Key positive factors of the textual content contain:
-Unified strategy in line with Hamilton duality approach conception and symplectic arithmetic. -Gyroscopic approach vibration, eigenvalue difficulties.
-Canonical transformation utilized to non-linear platforms.
-Pseudo-excitation process for structural random vibrations.
-Precise integration of two-point boundary price difficulties.
-Wave propagation alongside wave-guides, scattering.
-Precise answer of Riccati differential equations.
-HINFINITY idea of keep an eye on and filter.
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