Geodesic
Statistical characteristics of attainable set of controllable systems
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 111-113.

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We research the invariant and statistically invariant sets of the controllable systems. For definition of statistically invariant set, we introduce and research such characteristics as the relative frequency, the upper and lower relative frequences of occurence of the attainable set of a controllable system in some given set.
Keywords: controllable systems, dynamical systems, differential inclusions, invariant and statistically invariant sets. 
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L. I. Rodina. Statistical characteristics of attainable set of controllable systems. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 111-113. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a52/

[1] Rodina L.I., Tonkov E.L., “Statisticheskie kharakteristiki mnozhestva dostizhimosti upravlyaemoi sistemy, nebluzhdaemost i minimalnyi tsentr prityazheniya”, Nelineinaya dinamika, 5:2 (2009), 265–288

[2] Rodina L.I. Tonkov E.L., “Statisticheski slabo invariantnye mnozhestva upravlyaemykh sistem”, Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Kompyuternye nauki, 2011, no. 1, 67–86 | MR

[3] Panasenko E.A., Rodina L.I., Tonkov E.L., “Asimptoticheski ustoichivye statisticheski slabo invariantnye mnozhestva upravlyaemykh sistem”, Trudy Instituta matematiki i mekhaniki UrO RAN, 16:5 (2010), 135–142

[4] Panasenko E.A., Rodina L.I., Tonkov E.L., “Prostranstvo ${\rm clcv}(\mathbb R^n)$ s metrikoi Khausdorfa–Bebutova i differentsialnye vklyucheniya”, Trudy Instituta matematiki i mekhaniki UrO RAN, 17:1 (2011), 162–177

[5] Rodina L.I., “Statisticheski invariantnye mnozhestva upravlyaemykh sistem so sluchainymi parametrami”, Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Kompyuternye nauki, 2011, no. 2, 68–87