Volume 22, Number 3, July-September 2016
|Page(s)||688 - 709|
|Published online||27 April 2016|
Bang-bang trajectories with a double switching time in the minimum time problem∗
Dipartimento di Matematica e Informatica “Ulisse Dini”, Università degli
Studi di Firenze, via di Santa Marta, 50139 3, Firenze, Italy.
Revised: 16 March 2015
In this paper we deal with the strong local optimality of a triplet satisfying Pontryagin Maximum Principle in the minimum time problem between two given manifolds. The reference control is assumed to be bang-bang with a double switching time. Our methods are based on a topological technique for the inversion of the projected maximised flow.
Mathematics Subject Classification: 49K15 / 49J15 / 93C10
Key words: Hamiltonian methods / bang-bang controls / sufficient second order conditions
© EDP Sciences, SMAI 2016
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