Abstract
In a former paper, we defined a new semantics for timed automata, the Almost ASAP semantics, which is parameterized by Δ to cope with the reaction delay of the controller. We showed that this semantics is implementable provided there exists a strictly positive value for the parameter Δ for which the strategy is correct. In this paper, we define the implementability problem to be the question of existence of such a Δ. We show that this question is closely related to a notion of robustness for timed automata defined in [Pur98] and prove that the implementability problem is decidable.
Supported by the FRFC project “Centre Fédéré en Vérification” funded by the Belgian National Science Foundation (FNRS) under grant nr 2.4530.02.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alur, R., Dill, D.L.: A theory of timed automata. Theoretical Computer Science 126(2), 183–235 (1994)
Alur, R., Kim, J., Ivancic, F., Lee, I., Sokolsky, O.: Generating embedded software from hierarchical hybrid models. In: ACM Symposium on Languages, Compilers, and Tools for Embedded Systems (2003)
Amnell, T., Fersman, E., Mokrushin, L., Pettersson, P., Yi, W.: Times: A tool for modelling and implementation of embedded systems. In: Katoen, J.-P., Stevens, P. (eds.) TACAS 2002. LNCS, vol. 2280, pp. 460–464. Springer, Heidelberg (2002)
Amnell, T., Fersman, E., Pettersson, P., Sun, H., Yi, W.: Code synthesis for timed automata. Nordic Journal of Computing(NJC) 9 (2003)
Asarin, E., Maler, O., Pnueli, A., Sifakis, J.: Controller synthesis for timed automata. In: Proc. System Structure and Control, Elsevier, Amsterdam (1998)
Cassez, F., Henzinger, T.A., Raskin, J.-F.: A comparison of control problems for timed and hybrid systems. In: Tomlin, C.J., Greenstreet, M.R. (eds.) HSCC 2002. LNCS, vol. 2289, pp. 134–148. Springer, Heidelberg (2002)
De Wulf, M., Doyen, L., Raskin, J.-F.: Almost ASAP semantics: From timed models to timed implementations. In: Alur, R., Pappas, G.J. (eds.) HSCC 2004. LNCS, vol. 2993, pp. 296–310. Springer, Heidelberg (2004)
Gupta, V., Henzinger, T.A., Jagadeesan, R.: Robust timed automata. In: Maler, O. (ed.) HART 1997. LNCS, vol. 1201, pp. 331–345. Springer, Heidelberg (1997)
Henzinger, T.A., Kirsch, C.M., Sanvido, M.A., Pree, W.: From control models to real-time code using Giotto. IEEE Control Systems Magazine 23(1), 50–64 (2003)
Puri, A.: Dynamical properties of timed automata. In: Ravn, A.P., Rischel, H. (eds.) FTRTFT 1998. LNCS, vol. 1486, pp. 210–227. Springer, Heidelberg (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
De Wulf, M., Doyen, L., Markey, N., Raskin, JF. (2004). Robustness and Implementability of Timed Automata. In: Lakhnech, Y., Yovine, S. (eds) Formal Techniques, Modelling and Analysis of Timed and Fault-Tolerant Systems. FTRTFT FORMATS 2004 2004. Lecture Notes in Computer Science, vol 3253. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30206-3_10
Download citation
DOI: https://doi.org/10.1007/978-3-540-30206-3_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23167-7
Online ISBN: 978-3-540-30206-3
eBook Packages: Springer Book Archive