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arXiv · 1411.1719

Second order analysis of control-affine problems with scalar state constraint

M. Soledad Aronna·Frédéric Bonnans·Bean San Goh
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Abstract

In this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition.

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M. Soledad Aronna, Frédéric Bonnans, Bean San Goh. 2014-11-06. Second order analysis of control-affine problems with scalar state constraint. https://doi.org/10.1007/s10107-015-0976-0

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