Geodesic
Solving some problems of automata behaviour analysis
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1-2, pp. 121-133 
L. B. Tyapaev. Solving some problems of automata behaviour analysis. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 6 (2006) no. 1-2, pp. 121-133. http://geodesic.mathdoc.fr/item/ISU_2006_6_1-2_a13/
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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.

[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