Abstract
In earlier work, we developed a mathematical hybrid I/O automaton (HIOA) modeling framework, capable of describing both discrete and continuous behavior. This framework has been used to analyze examples of automated transportation systems, intelligent vehicle high-way systems, air traffic control systems, and consumer electronics applications. Here, we reconsider the basic definitions of the HIOA framework, in particular, the dual use of external variables for discrete and continuous communication. We present a new HIOA model that is simpler than the earlier model, due to a clearer separation between discrete and continuous activity.
Supported by AFOSR F49620-00-1-0097, F49620-97-1-0337; NTT MIT9904-12; NSF ACI-9876931, CCR-9909114, CCR-9804665; PATH 1784-18454LD.
Supported by MURST project TOSCA.
Supported by Esprit Project 26270, Verification of Hybrid Systems (VHS).
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R. Alur, C. Courcoubetis, N. Halbwachs, T.A. Henzinger, P.-H. Ho, X. Nicollin, A. Olivero, J. Sifakis, and S. Yovine. The algorithmic analysis of hybrid systems. Theoretical Computer Science, 138:3–34, 1995.
R. Alur and T.A. Henzinger. Reactive modules. Proc. LICS’96, pp. 207–218, 1996.
R. Alur and T.A. Henzinger. Modularity for timed and hybrid systems. In Proc. of CONCUR’97, LNCS 1243, pp. 74–88, 1997.
D.J.B. Bosscher, I. Polak, and F.W. Vaandrager. Verification of an audio control protocol. In Proc. of FTRTFT’94, LNCS 863, pp. 170–192, 1994.
D. Dill. Trace Theory for Automatic Hierarchical Verification of Speed-Independent Circuits. ACM Distinguished Dissertations. MIT Press, 1988.
E. Dolginova and N.A. Lynch. Safety verification for automated platoon maneuvers: A case study. Proc. of HART’97, LNCS 1201, pp. 154–170, 1997.
C.A. Gunter. Semantics of Programming Languages: Structures and Techniques. MIT Press, Cambridge, Massachusetts, 1992.
A. Kapur, T.A. Henzinger, Z. Manna, and A. Pnueli. Proving safety properties of hybrid systems. In Proc. of FTRTFT’94, LNCS 863, pp. 431–454, 1994.
C. Livadas, J. Lygeros, and N.A. Lynch. High-level modelling and analysis of TCAS. In Proc. of RTSS’99, 1999.
C. Livadas and N.A. Lynch. Formal verification of safety-critical hybrid systems. In Proc. of HSCC’98, LNCS 1386, pp. 253–272, 1998.
J. Lygeros and N.A. Lynch. On the formal verification of the TCAS conflict resolution algorithms. In Proc. of 36th IEEE Conference on Decision and Control, pp. 1829–1834, 1997. Extended abstract.
J. Lygeros and N.A. Lynch. Strings of vehicles: Modeling and safety conditions. In Proc. of HSCC’98, LNCS 1386, pp. 273–288, 1998.
N.A. Lynch. Modelling and verification of automated transit systems, using timed automata, invariants and simulations. In Hybrid Systems III, LNCS 1066, 1996.
N.A. Lynch. A three-level analysis of a simple acceleration maneuver, with uncertainties. Proc. of 3 rd AMAST Workshop on Real-Time Systems, pp. 1–22, 1996.
N.A. Lynch, R. Segala, F.W. Vaandrager, and H.B. Weinberg. Hybrid I/O automata. In Hybrid Systems III, LNCS 1066, pp. 496–510, 1996.
N.A. Lynch, R. Segala, F.W. Vaandrager, and H.B. Weinberg. Hybrid I/O automata. Report CSI-R9907, Computing Science Institute, Univ. of Nijmegen, 1999.
N.A. Lynch and F.W. Vaandrager. Action transducers and timed automata. Formal Aspects of Computing, 8(5):499–538, 1996.
N.A. Lynch and H.B. Weinberg. Proving correctness of a vehicle maneuver: Deceleration. Proc. 2 nd European Workshop on Real-Time and Hybrid Systems, 1995.
O. Maler, Z. Manna, and A. Pnueli. From timed to hybrid systems. In Proc. REX Workshop on Real-Time: Theory in Practice, LNCS 600, pp. 447–484, 1992.
R. Segala, R. Gawlick, J.F. Søgaard-Andersen, and N.A. Lynch. Liveness in timed and untimed systems. Information and Computation, 141(2):119–171, March 1998.
E.D. Sontag. Mathematical Control Theory — Deterministic Finite Dimensional Systems, volume 6 of Texts in Applied Mathematics. Springer-Verlag, 1990.
H.B. Weinberg and N.A. Lynch. Correctness of vehicle control systems: A case study. In Proc. RTSS’96, pp. 62–72, 1996.
H.B. Weinberg, N.A. Lynch, and N. Delisle. Verification of automated vehicle protection systems. In Hybrid Systems III, LNCS 1066, pp. 101–113,1996.
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Lynch, N., Segala, R., Vaandrager, F. (2001). Hybrid I/O Automata Revisited. In: Di Benedetto, M.D., Sangiovanni-Vincentelli, A. (eds) Hybrid Systems: Computation and Control. HSCC 2001. Lecture Notes in Computer Science, vol 2034. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45351-2_33
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DOI: https://doi.org/10.1007/3-540-45351-2_33
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