Quadratures of Pontryagin extremals for optimal control problems

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

Abstrakty

EN

We obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrability by quadratures of optimal control problems with controls taking values on open sets is obtained. We illustrate our approach on some problems taken from the literature. An alternative proof of the integrability of the sub-Riemannian nilpotent Lie group of type (2,3,5) is also given.

Słowa kluczowe

EN

Noether's theorem; Kozlov-Kolesnikov integrability; integrability by quadratures; optimal control

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2006
• Tom: Vol. 35, no 4
• Strony: 948--963
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Rocha E. A.

autor

Torres D. F.

• Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal,

Bibliografia

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