Nicolas Markey

Abstract

We consider the fundamental problem of Büchi acceptance in timed automata in a robust setting. The problem is formalised in terms of controller synthesis: timed automata are equipped with a parametrised game-based semantics that models the possible perturbations of the decisions taken by the controller. We characterise timed automata that are robustly controllable for some parameter, with a simple graph theoretic condition, by showing the equivalence with the existence of an aperiodic lasso that satisfies the winning condition (aperiodicity was defined and used earlier in different contexts to characterise convergence phenomena in timed automata). We then show decidability and PSPACE-completeness of our problem.

@inproceedings{concur2013-SBMR,
  author =              {Sankur, Ocan and Bouyer, Patricia and Markey,
                         Nicolas and Reynier, Pierre-Alain},
  title =               {Robust Controller Synthesis in Timed Automata},
  editor =              {D{'}Argenio, Pedro R. and Melgratt, Hern{\'a}n C.},
  booktitle =           {{P}roceedings of the 24th {I}nternational
                         {C}onference on {C}oncurrency {T}heory
                         ({CONCUR}'13)},
  acronym =             {{CONCUR}'13},
  publisher =           {Springer-Verlag},
  series =              {Lecture Notes in Computer Science},
  volume =              {8052},
  pages =               {546-560},
  year =                {2013},
  month =               aug,
  doi =                 {10.1007/978-3-642-40184-8_38},
  abstract =            {We consider the fundamental problem of B{\"u}chi
                         acceptance in timed automata in a robust setting.
                         The problem is formalised in terms of controller
                         synthesis: timed automata are equipped with a
                         parametrised game-based semantics that models the
                         possible perturbations of the decisions taken by the
                         controller. We characterise timed automata that are
                         robustly controllable for some parameter, with a
                         simple graph theoretic condition, by showing the
                         equivalence with the existence of an aperiodic lasso
                         that satisfies the winning condition (aperiodicity
                         was defined and used earlier in different contexts
                         to characterise convergence phenomena in timed
                         automata). We then show decidability and
                         PSPACE-completeness of our problem.},
}