Title
Control in o-minimal Hybrid Systems
Abstract
In this paper, we consider the control of general hybrid systems. In this context we show that time-abstract bisimulation is not adequate for solving such a problem. That is why we consider an other equivalence, namely the suffix equivalence based on the encoding of trajectories through words. We show that this suffix equivalence is in general a correct abstraction for control problems. We apply this result to o-minimal hybrid systems, and get decidability and computability results in this framework.
Year
DOI
Venue
2006
10.1109/LICS.2006.22
Seattle, WA
Keywords
Field
DocType
bisimulation equivalence,computability,computational complexity,control theory,decidability,finite state machines,computability,decidability,o-minimal hybrid systems,suffix equivalence,time-abstract bisimulation,trajectory encoding
Discrete mathematics,Combinatorics,Suffix,Computer science,Finite-state machine,Computability,Decidability,Equivalence (measure theory),Bisimulation,Hybrid system,Computational complexity theory
Conference
ISSN
ISBN
Citations 
1043-6871
0-7695-2631-4
11
PageRank 
References 
Authors
0.58
17
3
Name
Order
Citations
PageRank
Patricia Bouyer143529.20
Thomas Brihaye246035.91
Fabrice Chevalier31267.32