The paper gives second order sufficient conditions for the strong local optimality of a bang--singular extremal in a minimum time problem. The conditions are given in terms of regularity assumptions on the extremal and of the coercivity of the extended second variation on the singular arc. The conditions are "close" to the necessary ones in the usual sense, namely we require strict inequalities where the necessary conditions have mild inequalities.

Sufficient optimality conditions for a bang--singular extremal in the minimum time problem / L. Poggiolini; G. Stefani. - In: CONTROL AND CYBERNETICS. - ISSN 0324-8569. - STAMPA. - 37:(2008), pp. 469-490.

Sufficient optimality conditions for a bang--singular extremal in the minimum time problem

POGGIOLINI, LAURA;STEFANI, GIANNA
2008

Abstract

The paper gives second order sufficient conditions for the strong local optimality of a bang--singular extremal in a minimum time problem. The conditions are given in terms of regularity assumptions on the extremal and of the coercivity of the extended second variation on the singular arc. The conditions are "close" to the necessary ones in the usual sense, namely we require strict inequalities where the necessary conditions have mild inequalities.
37
469
490
L. Poggiolini; G. Stefani
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/331898
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