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Article Dans Une Revue Serdica Mathematical Journal Année : 2013

A Second-Order Maximum Principle in Optimal Control under State Constraints

Résumé

A second-order variational inclusion for control systems under state constraints is derived and applied to investigate necessary optimality conditions for the Mayer optimal control problem. A new pointwise condition veri ed by the adjoint state of the maximum principle is obtained as well as a second-order necessary optimality condition in the integral form. Finally, a new su cient condition for normality of the maximum principle is proposed. Some extensions to the Mayer optimization problem involving a di erential inclusion under state constraints are also provided.
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Dates et versions

hal-00926407 , version 1 (09-01-2014)

Identifiants

  • HAL Id : hal-00926407 , version 1

Citer

Hélène Frankowska, Daniel Hoehener, Daniela Tonon. A Second-Order Maximum Principle in Optimal Control under State Constraints. Serdica Mathematical Journal, 2013, 39 (3), pp.233-270. ⟨hal-00926407⟩
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