Geodesic
Statistical characteristics of control systems with impulsive action
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 99-105

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We consider the control systems with impulsive action at fixed time moments. We get estimations of statistical characteristics such as upper and lower relative frequency of entering solutions to a predetermined set. We also obtain the conditions under which the set is statistically invariant or statistically weakly invariant with respect to the control system with impulsive effect.
Keywords: control systems, attainability set, differential inclusions, statistical characteristics. 
@article{IIMI_2015_46_2_a12,
     author = {Ya. Yu. Larina},
     title = {Statistical characteristics of control systems with impulsive action},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {99--105},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a12/}
}
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Ya. Yu. Larina. Statistical characteristics of control systems with impulsive action. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 99-105. http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a12/