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arXiv · 1312.4155

Birth of the shape of a reachable set

Elena Goncharova·Alexander Ovseevich
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Abstract

We address a linear control system under geometric constraints on control and study its reachable sets starting at zero time from the origin. The main result is the existence of a limit shape of the reachable sets as the terminal time tends to zero. Here, a shape of a set stands for the set regarded up to an invertible linear transformation. Both autonomous and non-autonomous cases are considered.

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Elena Goncharova, Alexander Ovseevich. 2013-12-15. Birth of the shape of a reachable set. https://doi.org/10.1134/s1064562413050050

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