Symbolic computation of variational symmetries in optimal control

• Author(s): Gouveia, Paulo D.F. ; Torres, Delfim F.M. ; Rocha, Eugénio A.M.
• Date: 2006
• Persistent ID: http://hdl.handle.net/10198/1968
• Origin: Biblioteca Digital do IPB
• Subject(s): Variational symmetries; Gauge term; Nonconservative forces; Computer algebra systems; Noether’s theorem; First integrals; Optimal control
• Document Type: Report
• Language: English

Description

We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether’s first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for the sub-Riemannian nilpotent problem (2, 3, 5, 8).