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.File | Dimensione | Formato | |
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bangbangsing-accepted.pdf
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