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Linear Phase-portrait Approximations for Nonlinear Hybrid Systems (1996)  (Make Corrections)  (29 citations)
Thomas A. Henzinger Howard Wong-Toi Department of Computer Science, Cornell...
Hybrid Systems



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Abstract: . We use linear hybrid automata to define linear approximations of the phase portraits of nonlinear hybrid systems. The approximating automata can be analyzed automatically using the symbolic model checker HyTech. We demonstrate the technique through the study of predator-prey systems, where we compute population bounds for both species. We also identify a class of nonlinear hybrid automata for which linear phase-portrait approximations can be generated automatically. 1 Introduction... (Update)

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BibTeX entry:   (Update)

T.A. Henzinger and H. Wong-Toi. Linear phase-portrait approximations for nonlinear hybrid systems. In R. Alur, T.A. Henzinger, and E.D. Sontag, editors, Hybrid Systems III, LNCS 1066. Springer-Verlag, 1996. http://citeseer.ist.psu.edu/henzinger96linear.html   More

@inproceedings{ henzinger95linear,
    author = "Thomas A. Henzinger and Howard Wong-Toi",
    title = "Linear Phase-Portrait Approximations for Nonlinear Hybrid Systems",
    booktitle = "Hybrid Systems",
    pages = "377-388",
    year = "1995",
    url = "citeseer.ist.psu.edu/henzinger96linear.html" }
Citations (may not include all citations):
815   Abstract interpretation: a unified lattice model for the sta.. (context) - Cousot, Cousot - 1977
399   The algorithmic analysis of hybrid systems - Alur, Courcoubetis et al. - 1995
232   Hybrid automata: an algorithmic approach to the specificatio.. - Alur, Courcoubetis et al. - 1993
168   What's decidable about hybrid automata - Henzinger, Kopke et al. - 1995
167   Automatic symbolic verification of embedded systems - Alur, Henzinger et al. - 1993
90   and Linear Algebra (context) - Hirsch, Smale et al. - 1974
77   Algorithmic analysis of nonlinear hybrid systems - Henzinger, Ho - 1995
75   Verification of linear hybrid systems by means of convex app.. - Halbwachs, Raymond et al. - 1994
72   HyTech: The Cornell Hybrid Technology Tool - Henzinger, Ho - 1995
58   Hybrid automata with finite bisimulations - Henzinger - 1995
53   Automated analysis of an audio control protocol - Ho, Wong-Toi - 1995
35   A note on abstract-interpretation strategies for hybrid auto.. (context) - Henzinger, Ho - 1995
4   Geometric Methods in the Theory of Ordinary Differential Equ.. (context) - Arnol'd - 1983
3   Analytical note on certain rhythmic relations in organic sys.. (context) - Lotka - 1920
1   th Annual Real-time Systems Symposium (context) - Henzinger, Ho et al. - 1995



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