On O-Minimal Hybrid Systems

This paper is driven by a general motto: bisimulate a hybrid system by a finite symbolic dynamical system. In the case of o-minimal 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.

• Type: Conference
• Year: 2004
• Where: HYBRID
• Authors: Thomas Brihaye, Christian Michaux, Cédric Rivière, Christophe Troestler
• Keywords: Dynamical System, HYBRID 2004, Hybrid Systems, O-minimal Hybrid Systems