Geodesic
On one class of control problem under uncertainty
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 71-79
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An approach to solving a control problem for a nonlinear dynamic system containing control and uncertain parameters with terminal performance functional is described. The parameters of the controlled process are such that the uncertainty vector dominates over the control vector. A game control in the class of counterstrategies is suggested such that the value of the functional depends on the realized uncertainty. The quality of a counterstrategy is estimated by comparing the values of the functional under the game control and under the optimal control. The results of calculating the control and values of the functional for test parameters of the model and of the class of uncertainties are presented.
Keywords: control system, optimal control, control of uncertain system. 
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N. L. Grigorenko; D. V. Kamzolkin; L. N. Luk'yanova; D. G. Pivovarchuk. On one class of control problem under uncertainty. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 71-79. http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a6/

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