This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
F. Baccelli, G. Cohen, G.J. Olsder, and J.P. Quadrat, Synchronization and Linearity. New York: John Wiley & Sons, 1992.
R.A. Cuninghame-Green, “Algebraic realization of discrete dynamic systems,” in Proceedings of the 1991 IFAC Workshop on Discrete Event System Theory and Applications in Manufacturing and Social Phenomena, Shenyang, China, pp. 11–15, June 1991.
B. De Schutter and B. De Moor, “Minimal state space realization of SISO systems in the max algebra,” Technical Report 93-57, ESAT/SISTA, Katholieke Universiteit Leuven, Kardinaal Mercierlaan 94, B-3001 Leuven, Belgium, 1993.
B. De Schutter and B. De Moor, “Minimal realization in the max algebra is an extended linear complementarity problem,” Technical Report 93-70A, ESAT/SISTA, Katholieke Universiteit Leuven, Kardinaal Mercierlaan 94, B-3001 Leuven, Belgium, 1993. Submitted to Systems & Control Letters.
B. De Schutter and B. De Moor, “A method to find all solutions of a set of multivariate polynomial equalities and inequalities in the max algebra,” Technical Report 93-71, ESAT/SISTA, Katholieke Universiteit Leuven, Kardinaal Mercierlaan 94, B-3001 Leuven, Belgium, 1993. Submitted to Discrete Event Dynamic Systems: Theory and Applications.
S. Gaubert, Théorie des Systèmes Linéaires dans les Dioïdes. PhD thesis, Ecole Nationale Supérieure des Mines de Paris, France, July 1992.
G.J. Olsder and R.E. de Vries, “On an analogy of minimal realizations in conventional and discrete-event dynamic systems,” in Proceedings of the CNRS/CNET/INRIA Seminar, Algèbres Exotiques et Systèmes à Evénements Discrets, INRIA, Rocquencourt, France, June 1987.
L. Wang and X. Xu, “On minimal realization of SISO DEDS over max algebra,” in Proceedings of the 2nd European Control Conference, Groningen, The Netherlands, pp. 535–540, June 1993.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1994 Springer-Verlag London Limited
About this paper
Cite this paper
De Schutter, B., De Moor, B. (1994). The characteristic equation and minimal state space realization of SISO systems in the max algebra. In: Cohen, G., Quadrat, JP. (eds) 11th International Conference on Analysis and Optimization of Systems Discrete Event Systems. Lecture Notes in Control and Information Sciences, vol 199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0033557
Download citation
DOI: https://doi.org/10.1007/BFb0033557
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19896-3
Online ISBN: 978-3-540-39345-0
eBook Packages: Springer Book Archive