Geodesic
Optimal control of a~nonlinear singular system with state constraints
Matematičeskie zametki, Tome 60 (1996) no. 4, pp. 511-518.

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A control system described by a nonlinear equation of parabolic type is considered in the situation where there may be no global solution. A particular optimal control problem subject to state constraints is studied. A proof of the existence of an optimal control is presented. The penalty method is used to obtain necessary conditions for optimal control. A proof of the convergence of this method is given. The successive approximation method is used to obtain an approximate solution for the conditions derived. 
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S. Ya. Serovaǐskiǐ. Optimal control of a~nonlinear singular system with state constraints. Matematičeskie zametki, Tome 60 (1996) no. 4, pp. 511-518. http://geodesic.mathdoc.fr/item/MZM_1996_60_4_a3/

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