We consider a bang-singular normal extremal for the minimum time problem associated to a single-input control system affine in the control. We use Hamiltonian methods to prove that the coercivity of a suitable strongly-extended second variation associated to the singular arc is sufficient to prove the local optimality of the extremal in the strong topology. As a consequence we give a sufficient condition easily checkable and we apply it to three examples in R3.

Minimum time optimality for a bang-singular arc: second order sufficient conditions / L. Poggiolini;G. Stefani. - STAMPA. - (2005), pp. 1433-1438. ((Intervento presentato al convegno 44th IEEE Conference on Decision and Control and European Control Conference ECC'05 tenutosi a Seville, Spain nel 12-15 December 2005 [10.1109/CDC.2005.1582360].

Minimum time optimality for a bang-singular arc: second order sufficient conditions

POGGIOLINI, LAURA;STEFANI, GIANNA
2005

Abstract

We consider a bang-singular normal extremal for the minimum time problem associated to a single-input control system affine in the control. We use Hamiltonian methods to prove that the coercivity of a suitable strongly-extended second variation associated to the singular arc is sufficient to prove the local optimality of the extremal in the strong topology. As a consequence we give a sufficient condition easily checkable and we apply it to three examples in R3.
Proceedings of the 44th IEEE Conference on Decision and Control
44th IEEE Conference on Decision and Control and European Control Conference ECC'05
Seville, Spain
12-15 December 2005
Goal 4: Quality education
L. Poggiolini;G. Stefani
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/653647
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