The structure of the attractor of shapes of reachable sets |
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Authors: | A. I. Ovseevich |
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Affiliation: | (1) Department of Mathematics, J.W. Goethe University, Postfach 111932, 60054 Frankfurt, Germany |
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Abstract: | We study the asymptotic behavior of reachable sets of a linear time-invariant impulsive control system. Our main result is a complete description of the set of limit shapes of reachable sets (the attractor) in the case of a scalar control. The attractor is a torus defined via the pure imaginary eigenvalues of the system matrix. |
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