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  Reachability analysis of dynamical systems having piecewise-constant derivatives (1995) [78 citations — 15 self]

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by Eugene Asarin, Oded Maler, Amir Pnueli
Theoretical Computer Science
http://www-verimag.imag.fr/~asarin/papers/pcd.ps
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Abstract:

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Citations

2771 Introduction to Automata Theory, Languages and Computation – Hopcroft, Ullman - 1979
1393 A theory of timed automata – Alur, Dill - 1994
432 Yovine."Symbolic model checking for real-time systems – Henzinger, Nicollin, et al. - 1992
292 Hybrid automata: an algorithmic approach to the specification and verification of hybrid systems – Alur, Courcoubetis, et al.
128 From timed to hybrid systems – Maler, Manna, et al. - 1991
116 A Theory of Timed Automata, Theoretical Computer Science 126 – Alur, Dill - 1994
97 Model checking in dense real time – Alur, Courcoubetis, et al. - 1993
73 Models and reality – Putnam - 1980
69 Integration graphs: a class of decidable hybrid systems – Kesten, Pnueli, et al. - 1993
69 An Approach to the Description and Analysis of Hybrid Systems – Nicollin, Olivero, et al. - 1993
54 Universal computation and other capabilities of hybrid and continuous dynamical systems – Branicky - 1995
37 An Introduction to Convex Polytopes – Brøndsted - 1983
32 On some relations between dynamical systems and transition systems – Asarin, Maler - 1994
24 Smooth dynamical systems which realize arithmetical and logical operations – Brockett
22 Reachability analysis of planar multi-linear systems – Maler, Pnueli - 1993
19 Computability properties of low-dimensional dynamical systems – Koiran, Cosnard, et al. - 1994
2 Defining software by continuous smooth functions – DeMillo, Lipton - 1991
2 De ning software by continuous smooth functions – DeMillo, Lipton - 1991