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Abstract: We propose an algebraic model for hybrid systems and illustrate its usefulness by proving theorems in realization theory using this viewpoint. By a hybrid system, we mean a collection of continuous nonlinear control systems associated with a discrete finite state automaton. (Update)
Context of citations to this paper: More
.... Ozguner Dra (Drakunov 1994) Drakunov DV (Deshpande 1994) Deshpande and Varaiya 1995) Deshpande Varaiya For (Forsman 1994) Forsman GL (Grossman and Larson 1995) Grossman Larson Hoo (Hooman 1993) Hooman KPSY (Kesten et al. 1993) Kesten Pneuli Sifakis Yovine Lam (Lamport 1993)...
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BibTeX entry: (Update)
Grossman, R.L. and R.G. Larson (1995). An Algebraic Approach to Hybrid Systems. Theoretical Computer Science 138, 101--112. http://citeseer.ist.psu.edu/grossman95algebraic.html More
@article{ grossman95algebraic,
author = "R. L. Grossman and R. G. Larson",
title = "An algebraic approach to hybrid systems",
journal = "Theoretical Computer Science",
volume = "138",
number = "1",
pages = "101--112",
year = "1995",
url = "citeseer.ist.psu.edu/grossman95algebraic.html" }
Citations (may not include all citations):362 Nonlinear Control Systems (context) - Isidori - 1989
134 Formal Languages and their Relation to Automata (context) - Hopcroft, Ullman - 1969
71 Hopf algebras (context) - Sweedler - 1969
43 Quantum Physics: A Functional Integral Point of View (context) - Glimm, Ja - 1981
38 Lecture Notes in Computer Science (context) - Grossman, Nerode et al. - 1993
21 Mathematical description of linear dynamical systems (context) - Kalman - 1963
7 Viewing hybrid systems as products of control systems and au.. (context) - Grossman, Larson - 1992
5 Realisation locale des systemes non lineaires (context) - Fliess - 1983
5 The realization of input--output maps using bialgebras - Grossman, Larson - 1992
4 Minimal Polynomial Realizations (context) - Bartosiewicz - 1988
3 Lecture Notes in Control and Information Sciences (context) - Sontag, Maps - 1979
1 Declarative control theory (context) - Kohn - 1989
1 Path planning, persistent stores, and hybrid systems (context) - Grossman, Valsamis et al. - 1993
1 Models for hybrid sysems: Automata, topologies and stability (context) - Kohn, Nerode - 1993
1 A vector space approach to hybrid systems (context) - Grossman, Nerode
1 Ordinary di#erential equations on real a#ne varieties (context) - Bartosiewicz - 1987
1 Some Remarks About Flows in Hybrid Systems (context) - Grossman, Larson - 1993
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