On statistical risk functional in a control problem for an object moving in a conflict environment
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- Shaikin, M.E. J. Comput. Syst. Sci. Int. (2011) 50: 20. doi:10.1134/S1064230711010175
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A statistical criterion is suggested for a variational problem on constructing an optimal trajectory of evasion of a movable object from detection by a stationary observer. Coordinates of the observer are assumed to be not known exactly but are distributed in the space in accordance with some a priori known probability distribution. The risk functional for the variational problem is taken to be expectation of an integral loss functional (depending on a random parameter) in the deterministic problem, which is calculated in this work.