Singular reduction of symmetries in Hamiltonian mechanics and control theory

• Published in: Механика твердого тела
• Date: 2007
• Main Author: Sniatycki, J.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/27945
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Singular reduction of symmetries in Hamiltonian mechanics and control theory / J. Sniatycki // Механика твердого тела: Межвед. сб. науч. тр. — 2007. — Вип 37. — С. 152-163. — Бібліогр.: 21 назв. — англ.

We discuss the reduction of symmetries of dynamical systems, Hamiltonian systems, Hamiltonian systems with non-holonomic constraints, and non-linear control systems. We assume that the symmetry group of each system acts properly on the phase space of the system. Reduced system is described in the f...