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August  2003, 3(3): 361-382. doi: 10.3934/dcdsb.2003.3.361

Set oriented methods for computing reachable sets and control sets

Dietmar Szolnoki 1,

1. 

Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany

Received  January 2002 Revised  February 2003 Published  May 2003

The computation of reachable sets and control sets is a difficult problem, since the objects to be computed have full dimension in the state space. In this paper we present suitably reformulated problems which in many cases allow to apply set oriented numerical methods for the computation of reachable sets and control sets.
Keywords: Reachable sets, control sets, subdivision technique, symbolic image..
Mathematics Subject Classification: 93B03, 93B40, 93C1.
Citation: Dietmar Szolnoki. Set oriented methods for computing reachable sets and control sets. Discrete and Continuous Dynamical Systems - B, 2003, 3 (3) : 361-382. doi: 10.3934/dcdsb.2003.3.361
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