Geodesic
Optimal Synthesis in a~Control Problem with Lipschitz Input Data
Informatics and Automation, Optimal control, Tome 262 (2008), pp. 240-252

Voir la notice de l'article provenant de la source Math-Net.Ru

We propose a numerical algorithm for constructing an optimal synthesis in the control problem for a nonlinear system on a fixed time interval. We estimate the difference between the values of the cost functional on optimal trajectories and on the trajectories constructed according to this algorithm. The operation of the algorithm is illustrated by solving model examples on the plane. 
@article{TRSPY_2008_262_a17,
     author = {N. N. Subbotina and T. B. Tokmantsev},
     title = {Optimal {Synthesis} in {a~Control} {Problem} with {Lipschitz} {Input} {Data}},
     journal = {Informatics and Automation},
     pages = {240--252},
     publisher = {mathdoc},
     volume = {262},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2008_262_a17/}
}
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N. N. Subbotina; T. B. Tokmantsev. Optimal Synthesis in a~Control Problem with Lipschitz Input Data. Informatics and Automation, Optimal control, Tome 262 (2008), pp. 240-252. http://geodesic.mathdoc.fr/item/TRSPY_2008_262_a17/