Symmetries, conservation laws, and time reversibility for Hamiltonian systems with external forces
- 1 August 1983
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (8) , 2095-2101
- https://doi.org/10.1063/1.525962
Abstract
A system theoretic framework is given for the description of Hamiltonian systems with external forces and partial observations of the state. It is shown how symmetries and conservation laws can be defined within this framework. A generalization of Noether’s theorem is obtained. Finally a precise definition of time reversibility is given and its consequences are explored.Keywords
This publication has 7 references indexed in Scilit:
- Observability and Controllability for Smooth Nonlinear SystemsSIAM Journal on Control and Optimization, 1982
- Controllability and observability for affine nonlinear Hamiltonian systemsIEEE Transactions on Automatic Control, 1982
- Time-reversible Hamiltonian systemsSystems & Control Letters, 1982
- Hamiltonian dynamics with external forces and observationsTheory of Computing Systems, 1981
- Hamiltonian systems with a discrete symmetryJournal of Differential Equations, 1981
- Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: A generalization of Noether's theoremSystems & Control Letters, 1981
- Functions Whose Poisson Brackets Are ConstantsJournal of Mathematical Physics, 1971