This paper gives sufficient conditions for a class of bang-bang extremals with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of the ones considered in [4, 11] and [12]. We require both the strict bang-bang Legendre condition, a non degeneracy condition at multiple switching times, and the second order conditions for the finite dimensional problems obtained by moving the switching times of the reference trajectory.

Sufficient optimality conditions for a bang-bang trajectory in a Bolza problem / L. POGGIOLINI; M. SPADINI. - STAMPA. - (2008), pp. 337-358. [10.1007/978-3-540-69532-5_19]

Sufficient optimality conditions for a bang-bang trajectory in a Bolza problem

POGGIOLINI, LAURA;SPADINI, MARCO
2008

Abstract

This paper gives sufficient conditions for a class of bang-bang extremals with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of the ones considered in [4, 11] and [12]. We require both the strict bang-bang Legendre condition, a non degeneracy condition at multiple switching times, and the second order conditions for the finite dimensional problems obtained by moving the switching times of the reference trajectory.
9783540695318
9783540695325
9783642089084
Mathematical Control Theory and Finance
337
358
L. POGGIOLINI; M. SPADINI
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/258550
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