Abstract
The definitions of symmetries and conservation laws for autonomous (i.e. without external forces) Hamiltonian systems are generalized to Hamiltonian systems with inputs and outputs. It is shown that a symmetry implies the existence of a conservation law and vice versa; thereby generalizing Noether's theorem for autonomous Hamiltonian systems.
| Original language | English |
|---|---|
| Number of pages | 8 |
| Journal | Systems & Control Letters |
| Volume | 1 |
| Issue number | 2 |
| Publication status | Published - 1981 |
Keywords
- Symplectic geometry
- Hamiltonian systems
- Symmetries
- Nonlinear input-output systems