In this paper, we give second-order sufficient conditions for strong local optimality of a bang-singular-bang extremal in the minimum time problem. The conditions are given in terms of some regularity assumptions on the extremal and of the coercivity of the extended second variation associated with the minimum time problem with fixed endpoints on the singular arc. The conditions are close to the necessary conditions in the usual sense; namely, we require strict inequalities where the necessary conditions have nonstrict inequalities.

Bang-singular-bang extremals: sufficienty optimality conditions / L. Poggiolini; G. Stefani. - In: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. - ISSN 1079-2724. - STAMPA. - 17:(2011), pp. 469-514. [10.1007/s10883-011-9127-y]

Bang-singular-bang extremals: sufficienty optimality conditions

POGGIOLINI, LAURA;STEFANI, GIANNA
2011

Abstract

In this paper, we give second-order sufficient conditions for strong local optimality of a bang-singular-bang extremal in the minimum time problem. The conditions are given in terms of some regularity assumptions on the extremal and of the coercivity of the extended second variation associated with the minimum time problem with fixed endpoints on the singular arc. The conditions are close to the necessary conditions in the usual sense; namely, we require strict inequalities where the necessary conditions have nonstrict inequalities.
17
469
514
L. Poggiolini; G. Stefani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/394646
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