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 |
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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