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.
|Number of pages||8|
|Journal||Systems & Control Letters|
|Publication status||Published - 1981|
- Symplectic geometry
- Hamiltonian systems
- Nonlinear input-output systems