Singular reduction of symmetries in Hamiltonian mechanics and control theory
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...
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| Published in: | Механика твердого тела |
|---|---|
| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/27945 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862635146803412992 |
|---|---|
| author | Sniatycki, J. |
| author_facet | Sniatycki, J. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Механика твердого тела |
| description | 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 framework of theory of di erential spaces.
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| first_indexed | 2025-11-30T17:15:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-27945 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-1975 |
| language | English |
| last_indexed | 2025-11-30T17:15:52Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Sniatycki, J. 2011-10-24T21:27:59Z 2011-10-24T21:27:59Z 2007 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. 0321-1975 https://nasplib.isofts.kiev.ua/handle/123456789/27945 62-50; 531.38 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 framework of theory of di erential spaces. en Інститут прикладної математики і механіки НАН України Механика твердого тела Singular reduction of symmetries in Hamiltonian mechanics and control theory Article published earlier |
| spellingShingle | Singular reduction of symmetries in Hamiltonian mechanics and control theory Sniatycki, J. |
| title | Singular reduction of symmetries in Hamiltonian mechanics and control theory |
| title_full | Singular reduction of symmetries in Hamiltonian mechanics and control theory |
| title_fullStr | Singular reduction of symmetries in Hamiltonian mechanics and control theory |
| title_full_unstemmed | Singular reduction of symmetries in Hamiltonian mechanics and control theory |
| title_short | Singular reduction of symmetries in Hamiltonian mechanics and control theory |
| title_sort | singular reduction of symmetries in hamiltonian mechanics and control theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/27945 |
| work_keys_str_mv | AT sniatyckij singularreductionofsymmetriesinhamiltonianmechanicsandcontroltheory |