Second-Order Sufficient Conditions for Weak Local Minima: General Control Constraints

Helene Frankowska ()
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Helene Frankowska: Sorbonne Université

A chapter in New Trends and Challenges in Optimization Theory Applied to Space Engineering, 2025, pp 185-194 from Springer

Abstract: Abstract We present second-order sufficient optimality conditions for the Mayer optimal control problem under general control constraints. For this aim we assume that neighboring controls can be approximated by second-order tangents relative to critical directions. This is always the case when the control constraints are described by functional inequalities involving C 2 $$C^2$$ functions with linearly independent gradients of active constraints. Sufficient conditions are expressed then by strengthening the known inequalities of the second-order necessary conditions.

Keywords: Optimal control; Weak local minimizer; Second-order sufficient conditions (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-81253-8_13

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DOI: 10.1007/978-3-031-81253-8_13

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