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

Frankowska, HélèneHoehener, DanielTonon, Daniela — 2013

Serdica Mathematical Journal

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...

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