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...
Saved in:
| Published in: | Механика твердого тела |
|---|---|
| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2007
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/27945 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-27945 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Singular reduction of symmetries in Hamiltonian mechanics and control theory |
| spellingShingle |
Singular reduction of symmetries in Hamiltonian mechanics and control theory Sniatycki, J. |
| title_short |
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_sort |
singular reduction of symmetries in hamiltonian mechanics and control theory |
| author |
Sniatycki, J. |
| author_facet |
Sniatycki, J. |
| publishDate |
2007 |
| language |
English |
| container_title |
Механика твердого тела |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
0321-1975 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/27945 |
| 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. |
| work_keys_str_mv |
AT sniatyckij singularreductionofsymmetriesinhamiltonianmechanicsandcontroltheory |
| first_indexed |
2025-11-30T17:15:52Z |
| last_indexed |
2025-11-30T17:15:52Z |
| _version_ |
1850858269447290880 |