Korovina, Margarita and Vorobjov, Nicolai (2011) Reachability in one-dimensional controlled polynomial dynamical systems. In Proc. The Ershov Informatics Conference, Institute Informaic Systems Press, Russian. (In Press)
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Abstract
In this paper we address the reachability problem in controlled o-minimal dynamical systems. This problem can be formulated as follows. Given a controlled o-minimal dynamical system and a target set, starting at an initial point, is there a finite choice of time points and control parameters applied at these points such that the target set is reachable. We prove the existence of a finite control stategy and construct an algorithm which provides finite control strategies for one-dimensional controlled polynomial dynamical systems.We also provide a complexity result which shows upper bounds on the numbers of switches in finite control strategies.
| Item Type: | Book |
|---|---|
| Uncontrolled Keywords: | CICADA, finite control strategy, controlled polynomial dynamical system |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 68 Computer science |
| Depositing User: | Dr Margarita Korovina |
| Date Deposited: | 24 Jun 2011 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1627 |
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