No-gap Second-order Optimality Conditions for Optimal Control Problems with a Single State Constraint and Control - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2006

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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Dates and versions

inria-00070189 , version 1 (19-05-2006)

Identifiers

  • HAL Id : inria-00070189 , version 1

Cite

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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