Symbolic computation of variational symmetries in optimal control

• Autorzy: Gouveia P. D. , Torres D. F. , Rocha E. A.
• Konferencja: Junior European Meeting on Control and Optimization (2005 ; Białystok)
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

variational symmetries; gauge term; nonconservative forces; computer algebra systems; Noether's theorem; first integrals; optimal control

PL

sterowanie optymalne

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2006
• Tom: Vol. 35, no 4
• Strony: 831--849
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Gouveia P. D.

autor

Torres D. F.

autor

Rocha E. A.

• Control Theory Group (cotg), Centre for Research in Optimization and Control, Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal,

Bibliografia

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