Solving some problems of automata behaviour analysis
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1, pp. 121-133.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the context of the geometrical approach and by means of geometrical methods automaton behaviour is studied as curves on the plane. The attention is called to a new way of setting the finite-state machines as a functional curve on the plane. Also within the limits of the geometrical approach problems of automaton analysis, synthesis, diagnosis and transformation have been also investigated.
@article{ISU_2006_6_1_a13,
     author = {L. B. Tyapaev},
     title = {Solving some problems of automata behaviour analysis},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {121--133},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2006_6_1_a13/}
}
TY  - JOUR
AU  - L. B. Tyapaev
TI  - Solving some problems of automata behaviour analysis
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2006
SP  - 121
EP  - 133
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2006_6_1_a13/
LA  - ru
ID  - ISU_2006_6_1_a13
ER  - 
%0 Journal Article
%A L. B. Tyapaev
%T Solving some problems of automata behaviour analysis
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2006
%P 121-133
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2006_6_1_a13/
%G ru
%F ISU_2006_6_1_a13
L. B. Tyapaev. Solving some problems of automata behaviour analysis. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1, pp. 121-133. http://geodesic.mathdoc.fr/item/ISU_2006_6_1_a13/

[1] Tverdokhlebov V. A., “Tekhnicheskoe diagnostirovanie v geometricheskoi interpretatsii zadach, modelei, metodov”, Avtomatizatsiya proektirovaniya diskretnykh sistem, Materialy mezhdunar. konf. (Minsk, 1995), 97

[2] Tyapaev L. B., “O zadanii konechnykh avtomatov funktsiyami, opredelennymi na otkrytom promezhutke”, Problemy i perspektivy pretsizionnoi mekhaniki i upravleniya v mashinostroenii, Materialy mezhdunar. konf. (Saratov, 1997), 48–49

[3] Aleksandrov P. S., Kolmogorov A. N., Vvedenie v teoriyu funktsii deistvitelnogo peremennogo, M.–L., 1938, 268 pp.

[4] Tyapaev L. B., Raspoznavanie matematicheskikh avtomatov na osnove geometricheskoi modeli povedeniya, Dep. v VINITI No 1327V98, Saratov, 1998, 46 pp.

[5] Tyapaev L. B., “Geometricheskie modeli i metody pri reshenii zadach teorii avtomatov”, Teoreticheskie problemy informatiki i ee prilozhenii, 3, Saratov, 1999, 131–136

[6] Tyapaev L. B., “Affinnye klassy avtomatov i ikh preobrazovaniya”, Teoreticheskie problemy informatiki i ee prilozhenii, 4, Saratov, 2001, 133–135