Abstract
The main purpose of the paper is to study the asymptotic behavior of reachable sets to linear time-invariant impulsive control systems. The issue is analyzed within the framework of shapes of reachable sets. This approach enables an exhaustive description of attractors arising in the space of shapes and the related dynamics. The results are compared with (Ovseevich, 1991; Figurina and Ovseevich, 1999).
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