Investigation of Controllability and Regularity Conditions for State Constrained Problems * *This publication was supported by the Russian Foundation for Basic Research, project no. 16-31-60005, and by the Ministry of Education and Science of the Russian Federation (Agreement number 02.a03.21.0008 and project no. 1.962.2017). The results of Section 2 were obtained by the first author under the support of the

Aram V Arutyunov,Fernando L Pereira,Dmitry Yu Karamzin

doi:10.1016/j.ifacol.2017.08.890

Investigation of Controllability and Regularity Conditions for State Constrained Problems * *This publication was supported by the Russian Foundation for Basic Research, project no. 16-31-60005, and by the Ministry of Education and Science of the Russian Federation (Agreement number 02.a03.21.0008 and project no. 1.962.2017). The results of Section 2 were obtained by the first author under the support of the

Aram V Arutyunov, Fernando L Pereira + Show 1 more

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https://doi.org/10.1016/j.ifacol.2017.08.890

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Journal: IFAC-PapersOnLine	Publication Date: Jul 1, 2017
Citations: 13

Affiliation: University of Porto, Peoples' Friendship University of Russia, Russian Academy of Sciences

#Project STRIDE #Russian Foundation For Basic Research + Show 8 more

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Abstract

Abstract A new method to prove non-degenerate optimality conditions in optimal control problems with state constraints of inequality type is proposed. This method involves the second-order derivative of the state constraint function and is based on the notion of the extended Hamilton-Pontryagin function and on the related optimality conditions.

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