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- W3092974746 abstract "In this paper, we are concerned with optimal control problems evolved on Riemannian manifolds, where the initial and final states satisfy some inequality and equality type constraints, and the control set is a separable metric space. We obtain the second order necessary conditions of integral and quasi-pointwise forms, both of which work for Pontryagin type critical controls and involve the curvature tensor. For this purpose, we need to develop the needle variation technique (up to the second order) in the framework of Riemannian manifolds, and show that along a critical variational direction, a suitably chosen set related to the second order variation is convex." @default.
- W3092974746 created "2020-10-22" @default.
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- W3092974746 date "2021-01-01" @default.
- W3092974746 modified "2023-10-14" @default.
- W3092974746 title "Second order necessary conditions for endpoints-constrained optimal control problems on Riemannian manifolds" @default.
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- W3092974746 doi "https://doi.org/10.1016/j.jde.2020.10.005" @default.
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