Korovina, Margarita and Vorobjov, Nicolai
(2012)
*Reachability in One-Dimensional Controlled
Polynomial Dynamical Systems.*
Lecture Notes in Computer Science, 7162.
pp. 251-261.
ISSN 0302-9743

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## Abstract

n this paper we investigate a case of the reachability prob- lem in controlled o-minimal dynamical systems. This problem can be formulated as follows. Given a controlled o-minimal dynamical system initial and target sets, find a finite choice of time points and control parameters applied at these points such that the target set is reachable from the initial set. We prove that the existence of a finite control strategy is decidable and construct a polynomial complexity algorithm which generates finite control strategies for one-dimensional controlled polynomial dynamical systems. For this algorithm we also show an upper bound on the numbers of switches in finite control strategies.

Item Type: | Article |
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Uncontrolled Keywords: | CICADA |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory |

Depositing User: | Dr Margarita Korovina |

Date Deposited: | 03 Jul 2012 |

Last Modified: | 20 Oct 2017 14:13 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/1844 |

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