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Singular extremals in multi-input time-optimal problems: a sufficient condition. (English) Zbl 1287.49020

Based on the authors’ abstract: In this paper, second order sufficient conditions for the strong local optimality of singular Pontryagin extremals are studied. The considerations are focused on the minimum time problem for a control affine system with vector inputs. Hamiltonian based methods are used to prove that the coercivity of a suitably defined second variation. Then, an involutivity assumption of the controlled fields, is sufficient for strong optimality of a candidate extremal.

MSC:

49K15 Optimality conditions for problems involving ordinary differential equations
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