Geodesic
About the attainability set of control system without assumption of compactness of geometrical restrictions on admissible controls
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2012), pp. 68-79 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate the conditions under which the control system $\dot x=f(t,x,u)$, $u\in U (t,x)$ together with closure of set of shifts (concerning time $t$) of control system possesses property of uniform local or uniform global attainability on the given time interval. We do not suppose that function $(t,x)\to U(t,x)$, setting geometrical restrictions on admissible controls $u(t,x)\in U(t,x)$, has convex compact images and we do not suppose that differential inclusion corresponding to control system has convex images.
Keywords: statistically weakly invariant sets, controlled systems, attainability set, integral funnel, differential inclusion. 
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L. I. Rodina; E. L. Tonkov. About the attainability set of control system without assumption of compactness of geometrical restrictions on admissible controls. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2012), pp. 68-79. http://geodesic.mathdoc.fr/item/VUU_2012_4_a5/

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