Geodesic
A method for relaxing state constraints in nonsmooth optimal control problems
Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2022), pp. 107-114

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In this paper, we consider the optimal control problem described by a system of ordinary differential equations in the presence of state constraints. Theoretical results are obtained concerning the approximation of this problem by a sequence of new optimal control problems with a modified right-hand side of the control system and no state constraints. The issues of the approximation of continuous control systems by their discrete versions are also discussed.
Keywords: Optimal control; state constraints; nonsmooth optimisation; approximation. 
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     author = {M. P. Dymkov and S. M. Dymkou},
     title = {A method for relaxing state constraints in nonsmooth optimal control problems},
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M. P. Dymkov; S. M. Dymkou. A method for relaxing state constraints in nonsmooth optimal control problems. Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2022), pp. 107-114. http://geodesic.mathdoc.fr/item/BGUMI_2022_2_a9/