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2012.65: Reachability in One-Dimensional Controlled Polynomial Dynamical Systems

2012.65: Margarita Korovina and Nicolai Vorobjov (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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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
Uncontrolled Keywords:CICADA
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MIMS number:2012.65
Deposited By:Dr Margarita Korovina
Deposited On:03 July 2012

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