Rational algebra and MM functions
Kybernetika (2003)
- Volume: 39, Issue: 2, page [123]-128
- ISSN: 0023-5954
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topCuninghame-Green, Ray A.. "Rational algebra and MM functions." Kybernetika 39.2 (2003): [123]-128. <http://eudml.org/doc/33627>.
@article{Cuninghame2003,
abstract = {MM functions, formed by finite composition of the operators min, max and translation, represent discrete-event systems involving disjunction, conjunction and delay. The paper shows how they may be formulated as homogeneous rational algebraic functions of degree one, over (max, +) algebra, and reviews the properties of such homogeneous functions, illustrated by some orbit-stability problems.},
author = {Cuninghame-Green, Ray A.},
journal = {Kybernetika},
keywords = {algebraic systems theory; discrete-event dynamicsystems; asymptotic stability; algebraic systems theory; discrete-event dynamic system; asymptotic stability},
language = {eng},
number = {2},
pages = {[123]-128},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Rational algebra and MM functions},
url = {http://eudml.org/doc/33627},
volume = {39},
year = {2003},
}
TY - JOUR
AU - Cuninghame-Green, Ray A.
TI - Rational algebra and MM functions
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 2
SP - [123]
EP - 128
AB - MM functions, formed by finite composition of the operators min, max and translation, represent discrete-event systems involving disjunction, conjunction and delay. The paper shows how they may be formulated as homogeneous rational algebraic functions of degree one, over (max, +) algebra, and reviews the properties of such homogeneous functions, illustrated by some orbit-stability problems.
LA - eng
KW - algebraic systems theory; discrete-event dynamicsystems; asymptotic stability; algebraic systems theory; discrete-event dynamic system; asymptotic stability
UR - http://eudml.org/doc/33627
ER -
References
top- Baccelli F. L., Cohen G., Olsder G.-J., Quadrat J.-P., Synchronization and Linearity, An Algebra for Discrete Event Systems, Wiley, Chichester 1992 Zbl0824.93003MR1204266
- Cuninghame-Green R. A., Minimax Algebra (Lecture Notes in Economics and Mathematical Systems 166), Springer–Verlag, Berlin 1979 MR0580321
- Cuninghame-Green R. A., Meijer P. F. J., 10.1016/0166-218X(80)90025-6, Discrete Appl. Math. 2 (1980), 267–294 (1980) Zbl0448.90070MR0600179DOI10.1016/0166-218X(80)90025-6
- Cuninghame-Green R. A., Minimax algebra and applications, In: Advances in Imaging and Electron Physics 90 (P. W. Hawkes, ed.), Academic Press, New York 1995 Zbl0739.90073
- Cuninghame-Green R. A., 10.1016/0165-0114(95)00012-A, Fuzzy Sets and Systems 75 (1995), 179–187 (1995) Zbl0857.90134MR1358220DOI10.1016/0165-0114(95)00012-A
- Gaubert S., Gunawardena J., 10.1016/S0764-4442(97)82710-3, C. R. Acad. Sci. Paris 326 (1998), 43–48 (1998) Zbl0933.49017MR1649473DOI10.1016/S0764-4442(97)82710-3
- Manber U., Introduction to Algorithms, Addison–Wesley, New York 1989 Zbl0825.68397MR1091251
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