Geodesic
The Method of Penalty Function in One Problem of Optimal Control with Phase Constraint
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 2, pp. 86-98

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The problem solving optimal control problems with state constraints, by replacing the phase constraint penalty function in the target functional. Was established the existance of optimal control in this problem and prove the convergence of state variables and control for an indefinite increase of the penalty coefficient.
Keywords: optimal control, chemical reactor, functional, differential equations, penalty function.
Mots-clés : existence solution 
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     author = {K. S. Musabekov},
     title = {The {Method} of {Penalty} {Function} in {One} {Problem} of {Optimal} {Control} with {Phase} {Constraint}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {86--98},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2013_13_2_a8/}
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K. S. Musabekov. The Method of Penalty Function in One Problem of Optimal Control with Phase Constraint. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 2, pp. 86-98. http://geodesic.mathdoc.fr/item/VNGU_2013_13_2_a8/