Symbolic computation of variational symmetries in optimal control

• Author(s): Gouveia, P.D.F. ; Torres, D.F.M. ; Rocha, E.A.M.
• Date: 2006
• Persistent ID: http://hdl.handle.net/10773/4144
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Computer algebra systems; First integrals; Gauge term; Noether's theorem; Nonconservative forces; Optimal control; Variational symmetries
• Document Type: Article
• 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 a sub-Riemannian nilpotent problem (2, 3, 5, 8). control theory group (cotg) CEOC POCTI/MAT/41683 /2001 PRODEP III/5.3/2003