In this paper we consider a Mayer problem for a single input control affine dynamics and we give sufficient conditions for strong local optimality of a reference trajectory, consisting of two bang arcs followed by a singular one. We use a Hamiltonian approach and its connection with the second order conditions. A case study is proposed.

Strong local optimality for bang-bang-singular extremals in single input control problems / Poggiolini, Laura; Stefani, Gianna. - ELETTRONICO. - 50:(2017), pp. 6128-6133. ((Intervento presentato al convegno 20th IFAC World Congress tenutosi a Toulouse, France nel 9–14 July 2017 [10.1016/j.ifacol.2017.08.2022].

Strong local optimality for bang-bang-singular extremals in single input control problems

POGGIOLINI, LAURA
;
STEFANI, GIANNA
2017

Abstract

In this paper we consider a Mayer problem for a single input control affine dynamics and we give sufficient conditions for strong local optimality of a reference trajectory, consisting of two bang arcs followed by a singular one. We use a Hamiltonian approach and its connection with the second order conditions. A case study is proposed.
20th IFAC World Congress PROCEEDINGS
20th IFAC World Congress
Toulouse, France
9–14 July 2017
Poggiolini, Laura; Stefani, Gianna
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/1094741
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