Title :
Conservation laws and symmetries for Hamiltonian systems with inputs
Author :
Van der Schaft, A.J.
Author_Institution :
Twente University of Technology, The Netherlands
Abstract :
After a brief introduction to Hamiltonian systems with external forces (inputs) we define symmetries and conservations laws for such systems, and prove a generalization of Noether´s theorem. Finally we show how this theory can be applied to the solution of optimal control problems.
Keywords :
Equations; Force measurement; Lagrangian functions; Mechanical engineering; Mechanical systems; Optimal control; Orbital robotics; Q measurement; Robot kinematics; State-space methods;
Conference_Titel :
Decision and Control, 1984. The 23rd IEEE Conference on
Conference_Location :
Las Vegas, Nevada, USA
DOI :
10.1109/CDC.1984.272348
