Second order analysis of control-affine problems with scalar state constraint
classification
🧮 math.OC
cs.NAmath.NA
keywords
scalarstateconditionsconstraintcontrol-affineoptimalityorderproblems
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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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