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  On O-Minimal Hybrid Systems (2004) [14 citations — 3 self]

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by Thomas Brihaye, Christian Michaux, Cédric Rivière
Lecture Notes in Computer Science
http://www.ulb.ac.be/di/ssd/cfv/TechReps/TechRep_CFV_2003_19.pdf
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Abstract:

Abstract. This paper is driven by a general motto: bisimulate an hybrid system by a finite symbolic dynamical system. In the case of ominimal hybrid systems, the continuous and discrete components can be decoupled, and hence, the problem reduces in building a finite symbolic dynamical system for the continuous dynamics of each location. We show that this can be done for a quite general class of hybrid systems defined on o-minimal structures. In particular, we recover the main result of a paper by Lafferriere G., Pappas G.J. and Sastry S. on o-minimal hybrid systems. Mathematics Subject Classification: 68Q60, 03C64. 1

Citations

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