Computing Differential Invariants of Hybrid Systems as Fixedpoints
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
Computing differential invariants of hybrid systems as fixedpoints
Formal Methods in System Design
Formal Verification of Curved Flight Collision Avoidance Maneuvers: A Case Study
FM '09 Proceedings of the 2nd World Congress on Formal Methods
The image computation problem in hybrid systems model checking
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Differential dynamic logics: automated theorem proving for hybrid systems
Differential dynamic logics: automated theorem proving for hybrid systems
Formal analysis of the operational concept for the small aircraft transportation system
Rigorous Development of Complex Fault-Tolerant Systems
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Abstract: Free flight has been proposed as a future alternative to the current policy in Air Traffic Management (ATM) where aircraft follow predefined corridors. In free flight pilots can choose their own optimal routes, altitudes and velocities but are also responsible for the safe and fair resolution of trajectory conflicts. This would require a safe distributed control system were the trajectories that aircraft follow are as optimal as possible respecting sufficient safety distances. In this paper we model aircraft behaviour using non-determinism in such a way that reachability analysis provides the optimal trajectories of the aircraft. We compare the obtained results with the conflict resolution solutions proposed in the literature.