Jacobi type conditions for singular extremals

• Autorzy: Dmitruk A. V.
• Języki publikacji: EN

Abstrakty

EN

We consider the class of optimal control problems linear in the control, and study a singular extremal. If the Lagrange multipliers are unique, the quadratic order optimality conditions have the form of sign definiteness of a quadratic functional (the second variation of Lagrange function) with totally zero Legendre coefficient. Using the Goh transformation, we convert it to a functional possibly satisfying the strengthened Legendre condition, involving also an additional parameter, and by applying the Hestenes approach, determine its sign definiteness in terms of the conjugate point, i.e. give Jacobi type conditions.

Słowa kluczowe

EN

singular extremal; Goh transformation; Legendre quadratic form; Euler-Jacobi equation; conjugate point

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2008
• Tom: Vol. 37, no 2
• Strony: 285--306
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Dmitruk A. V.

• Russian Academy of Sciences, Central Economics & Mathematics Institute, Nakhimovskii prospekt 47, 117418 Moscow, Russia

Bibliografia

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