The paper provides second order sufficient conditions for the strong local optimality of bang-bang-singular extremals in a Mayer problem with general end point constraints. The sufficient conditions are expressed as a strengthening of the necessary ones plus the coerciveness of a suitable quadratic form related to a sub-problem of the given one. The sufficiency of the given conditions is proven via Hamiltonian methods.

Strong Local Optimality for a Bang-Bang-Singular Extremal: General Constraints / Laura Poggiolini ; Gianna Stefani. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 1573-2878. - STAMPA. - 186(2020), pp. 24-49. [10.1007/s10957-020-01700-2]

Strong Local Optimality for a Bang-Bang-Singular Extremal: General Constraints

Laura Poggiolini
;
Gianna Stefani
2020

Abstract

The paper provides second order sufficient conditions for the strong local optimality of bang-bang-singular extremals in a Mayer problem with general end point constraints. The sufficient conditions are expressed as a strengthening of the necessary ones plus the coerciveness of a suitable quadratic form related to a sub-problem of the given one. The sufficiency of the given conditions is proven via Hamiltonian methods.
186
24
49
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Laura Poggiolini ; Gianna Stefani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/1196176
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