Abstract
We study the limit behavior of reachable sets for time-invariant linear control systems under two types of the control bounds: the geometric bounds, and the bound for the total impulse.
Our main results consist in the description of the arising (as time tends to ∞) attractors in the space of shapes of the reachable sets, shape being the totality of sets obtained from a fixed one by an invertible affine transformation.
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Goncharova, E., Ovseevich, A. (2006). Limit Shapes of Reachable Sets for Linear Control Systems. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2005. Lecture Notes in Computer Science, vol 3743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11666806_25
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DOI: https://doi.org/10.1007/11666806_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31994-8
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