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No-gap Second-order Optimality Conditions for Optimal Control Problems with a Single State Constraint and Control

Abstract : The paper deals with optimal control problems with only one control variable and one state constraint, of arbitrary order. We consider the case of finitely many boundary arcs and touch times. We obtain a no-gap theory of second-order conditions, allowing to characterize second-order quadratic growth.
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https://hal.inria.fr/inria-00070189
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Submitted on : Friday, May 19, 2006 - 7:26:11 PM
Last modification on : Thursday, February 3, 2022 - 11:13:53 AM
Long-term archiving on: : Sunday, April 4, 2010 - 8:28:42 PM

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  • HAL Id : inria-00070189, version 1

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J. Frederic Bonnans, Audrey Hermant. No-gap Second-order Optimality Conditions for Optimal Control Problems with a Single State Constraint and Control. [Research Report] RR-5837, INRIA. 2006, pp.30. ⟨inria-00070189⟩

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