The paper proves second order sufficient conditions for the strong optimality of singular extremals of the first kind. The conditions are given both in Hamiltonian formulation and by means of the coercivity of a suitable coordinate--free second variation. The conditions are {\em close} to the necessary ones in the usual sense, namely we require strict inequalities where the necessary conditions have mild inequalities.
Strong optimality of singular trajectories / G. STEFANI. - STAMPA. - (2008), pp. 300-326. [10.1142/9789812776075_0018]
Strong optimality of singular trajectories
STEFANI, GIANNA
2008
Abstract
The paper proves second order sufficient conditions for the strong optimality of singular extremals of the first kind. The conditions are given both in Hamiltonian formulation and by means of the coercivity of a suitable coordinate--free second variation. The conditions are {\em close} to the necessary ones in the usual sense, namely we require strict inequalities where the necessary conditions have mild inequalities.File in questo prodotto:
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