Singular extremals in multi-input time-optimal problems: a sufficient condition

• Autorzy: Chittaro F. C. , Stefani G.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study second order sufficient conditions for the strong-local optimality of singular Pontryagin extremals. In particular, we focus on the minimum-time problem for a control-affine system with vector inputs. We use Hamiltonian methods to prove that the coercivity of a suitably-defined second variation - plus an involutivity assumption on the distribution of the controlled fields - is a sufficient condition for the strong optimality of a candidate extremal.

Słowa kluczowe

EN

second variation; singular extremal; sufficient condition; Hamiltonian methods

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2010
• Tom: Vol. 39, no 4
• Strony: 1029--1068
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Chittaro F. C.

autor

Stefani G.

• LSS-Supelec, Gif-sur-Yvette, France 2 Dipartimento di Matematica Applicata, Firenze, Italy

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