Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3439

 Title: A Second-Order Maximum Principle in Optimal Control Under State Constraints Authors: Frankowska, HélèneHoehener, DanielTonon, Daniela Keywords: optimal controlsecond-order necessary optimality conditionssecond-order tangents Issue Date: 2013 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 39, No 3-4, (2013), 233p-270p Abstract: 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 verified 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 sufficient condition for normality of the maximum principle is proposed. Some extensions to the Mayer optimization problem involving a differential inclusion under state constraints are also provided. 2010 Mathematics Subject Classification: 49K15, 49K21, 34A60, 34K35. URI: http://hdl.handle.net/10525/3439 ISSN: 1310-6600 Appears in Collections: Volume 39, Number 3-4

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