Geodesic
Investigation of some control models
Trudy Instituta matematiki i mehaniki, Control, stability, and inverse problems of dynamics, Tome 12 (2006) no. 2, pp. 142-151

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Three simplified models of quarrying are considered. The first and third models are extremal, and the second is described in terms of a differential game. For each of the models, sufficient conditions on the parameters of the problem are obtained that guarantee a simple form of the optimal control. Pontrayagin's maximum principle and the theory of positional differential games, elaborated by N. N. Krasovskii and his school, are used. 
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     author = {M. S. Nikol'skii},
     title = {Investigation of some control models},
     journal = {Trudy Instituta matematiki i mehaniki},
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     volume = {12},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2006_12_2_a12/}
}
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M. S. Nikol'skii. Investigation of some control models. Trudy Instituta matematiki i mehaniki, Control, stability, and inverse problems of dynamics, Tome 12 (2006) no. 2, pp. 142-151. http://geodesic.mathdoc.fr/item/TIMM_2006_12_2_a12/