Set oriented methods for computing reachable sets and control sets

Dietmar Szolnoki

doi:10.3934/dcdsb.2003.3.361

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2003, Volume 3, Issue 3: 361-382. Doi: 10.3934/dcdsb.2003.3.361

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Set oriented methods for computing reachable sets and control sets

Dietmar Szolnoki^1,

1.
Institut für Mathematik, Universität Augsburg, 86135 Augsburg

Received: December 31, 2001

Revised: January 31, 2003

Published: July 2003

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Abstract

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.

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Mathematics Subject Classification: 93B03, 93B40, 93C10.

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