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math.SG2021
Symmetric Reduction of Regular Controlled Lagrangian System with Momentum Map
Hong Wang
In this paper, following the ideas in Marsden et al.[18], we set up the regular reduction theory of a regular controlled Lagrangian (RCL) system with symmetry and momentum map, by…
math.SG2018
The Geometrical Structure of Phase Space of the Controlled Hamiltonian System with Symmetry
Hong Wang
In this paper, from the viewpoint of completeness of Marsden-Weinstein reduction, we illustrate how to give the definitions of a controlled Hamiltonian (CH) system and a reducible…