Geodesic
Approximations of attainability sets and of integral funnels of differential inclusions
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2011), pp. 23-39

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The paper is devoted to differential inclusions (DI) on finite time intervals. We consider some questions of computation of attainable sets for DI. The above sets are rarely describable analytically in an effective way though, often, there is a necessity for their computation, for example, in control theory, in which the above computation is a stimulus to develop methods and algorithms used to approximately compute attainable sets.
Keywords: attainability sets, integral funnel, differential inclusion. 
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     title = {Approximations of attainability sets and of integral funnels of differential inclusions},
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V. N. Ushakov; A. R. Matviichuk; A. V. Ushakov. Approximations of attainability sets and of integral funnels of differential inclusions. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2011), pp. 23-39. http://geodesic.mathdoc.fr/item/VUU_2011_4_a2/