Geodesic
Optimal control problems with integral functional and phase constraints: reduction to optimal consistency parameter problems
Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), Tome 42 (2011), pp. 186-198

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An iteration method to solve a class of optimal control problems with integral functional and phase constraints is developed in the paper. 
@article{CMFD_2011_42_a17,
     author = {E. A. Rovenskaya},
     title = {Optimal control problems with integral functional and phase constraints: reduction to optimal consistency parameter problems},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {186--198},
     publisher = {mathdoc},
     volume = {42},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2011_42_a17/}
}
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E. A. Rovenskaya. Optimal control problems with integral functional and phase constraints: reduction to optimal consistency parameter problems. Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), Tome 42 (2011), pp. 186-198. http://geodesic.mathdoc.fr/item/CMFD_2011_42_a17/