Optimal control on non-compact lie groups: A projection operator approach

Many nonlinear systems of practical interest evolve on Lie groups or on manifolds acted upon by Lie groups. Examples range from aircraft and underwater vehicles to quantum mechanical systems. In this paper, we develop the mathematical machinery needed for projection operator based trajectory exploration and optimization (optimal control) for systems defined on non-compact Lie groups.

• Type: Journal
• Year: 2010
• Where: CDC
• Authors: Alessandro Saccon, John Hauser, A. Pedro Aguiar
• Keywords: CDC 2010, Control Systems, Lie Groups, Many Nonlinear Systems, Non-compact Lie Groups