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Timed Control Synthesis for External Specifications

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STACS 2002 (STACS 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2285))

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Abstract

We study the problem of control synthesis for a timed plant and an external timed specification, modelled as timed automata. Our main result is that the problem is decidable when we are given a priori the resources for the controller (the number of clocks, observational power of clocks, etc.) and when the specification is an ω-regular timed language describing undesired behaviours. We also show that for deterministic specifications, if there is a controller at all, then there is one which uses the combined resources of the plant and specification. The decidability of other related problems is also investigated.

part of this work was done while visiting LSV, École Normal Supérieure, Cachan.

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References

  1. M. Abadi, L. Lamport, P. Wolper: Realizable and Unrealizable Concurrent Program Specifications, Proc. 16th ICALP, LNCS 372, Springer-Verlag (1989).

    Google Scholar 

  2. R. Alur, D. L. Dill: A theory of timed automata, Theoretical Computer Science Vol 126 (1994).

    Google Scholar 

  3. E. Asarin, O. Maler, A. Pnueli, J. Sifakis: Controller Synthesis for Timed Automata, Proc. IFAC Symposium on System Structure and Control, Elsevier (1998).

    Google Scholar 

  4. J.R. Büchi, L.H Landweber: Solving sequential conditions by finite-state strategies, Trans. AMS, Vol 138 (1969).

    Google Scholar 

  5. D. D’souza, P. Madhusudan: Controller synthesis for timed specifications, Technical ReportTCS-01-2, Chennai Mathematical Institute (http://www.cmi.ac.in) (2001).

  6. T.A. Henzinger: The theory of hybrid automata, Proc. 11th IEEE LICS, (1996).

    Google Scholar 

  7. G._Hoffmann, H. Wong-Toi: The control of dense real-time discrete event systems, Conference on Decision and Control, Brighton (1991).

    Google Scholar 

  8. O. Kupferman, P. Madhusudan, P.S. Thiagarajan, M. Vardi: Open systems in reactive environments: Control and Synthesis, CONCUR’ 00, LNCS 1877 (2000).

    Google Scholar 

  9. O. Maler, A. Pnueli, J. Sifakis: On the Synthesis of Discrete Controllers for Timed Systems, Proc. STACS’ 95 LNCS 900, Spinger-Verlag (1995).

    Google Scholar 

  10. R. McNaughton: Infinite games played on finite graphs, Annals of Pure and Applied Logic, Vol 65 (1993).

    Google Scholar 

  11. A. Pnueli, R. Rosner: On the Synthesis of a Reactive Module, Proc. 16th ACM POPL (1989).

    Google Scholar 

  12. P.J.G. Ramadge, W.M. Wonham: The control of discrete event systems, IEEE Trans. on Control Theory, Vol 77 (1989).

    Google Scholar 

  13. D. Schmitz, J. Vöge: Implementation of a strategy improvement algorithm for parity games, Proc. CIAA 2000, London, Ontario (2000).

    Google Scholar 

  14. W. Thomas: Automata on infinite objects, Handbook ofThe oretical Computer Science, North Holland (1990).

    Google Scholar 

  15. W. Thomas: On the Synthesis of Strategies in Infinite Games, Proc. 12th STACS, LNCS 900, Springer-Verlag (1995).

    Google Scholar 

  16. W. Thomas: Languages, Automata, and Logic, Handbook ofF ormal Language Theory, Springer-Verlag (1997).

    Google Scholar 

  17. W. Zielonka: Infinite games on finitely coloured graphs with applications to automata on infinite trees, Theoretical Computer ScienceVol 200 (1998).

    Google Scholar 

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D’souza, D., Madhusudan, P. (2002). Timed Control Synthesis for External Specifications. In: Alt, H., Ferreira, A. (eds) STACS 2002. STACS 2002. Lecture Notes in Computer Science, vol 2285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45841-7_47

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  • DOI: https://doi.org/10.1007/3-540-45841-7_47

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  • Print ISBN: 978-3-540-43283-8

  • Online ISBN: 978-3-540-45841-8

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