An Algebraic Formalism for Computing the Moments of Distributions of Quadratic Forms
Automation and Remote Control
Evading a rotating detection zone on a plane
Journal of Computer and Systems Sciences International
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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.