Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Bogomolov S. A. Identification of a state machine structure with finites fragment of behavior. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 2, pp. 14-20. DOI: 10.18500/1816-9791-2013-13-2-2-14-20, EDN: RHABHH

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.05.2013
Full text:
(downloads: 201)
Language: 
Russian
Heading: 
UDC: 
519.95
EDN: 
RHABHH

Identification of a state machine structure with finites fragment of behavior

Autors: 
Bogomolov Sergei Anatolevich, Saratov Socio-Economic Institute of Plekhanov
Abstract: 

 Identification of a state machine structure with finite fragments of behavior is discussed. The state machine behavior is a set of various finite-sequential (f.-s.) functions realized in a state machine, and under a finite fragment of behavior we mean traces of f.-s. functions and state machines. The concept of an identifying trace for a state machine irredundant over its realization is introduced. The approach is suggested that enables to separate and descript in the set of traces identifying a state machine the finite set of irredundant traces consisting of only essential information for identification of a state machine. 

References: 
  1. Ljung L. System Identification : Theory for the User. University of Linkoping Sweden, 1987. 432 p.
  2. Bogomolov S. A. On the synthesis of automata from a finite set experiments. Dokl. Acad. Sci. USSR, 1985, vol. 281, no. 1, pp. 20–22.
  3. Bogomolov S. A. Reconstruction of an automaton from experiments. Discrete Mathematics and Applications, 1991, vol. 1, no 2, pp. 117–128.
  4. Gill A. Introduction to the Theory of Finite-state Machines. McGraw-Hill, 1962. 272 pp.
  5. Kudryavtsev V. B., Aleshin S. V., Podkolzin A. S. Elementy teorii avtomatov [Topics of Automata Theory]. Moscow, Moscow Univ. Press, 1978. 216 pp. (in Russian).
  6. Moor E. F. Speculative experiments with sequential machines. In Automata Studies, eds. C. E. Shennon, J. McCarthy. Princeton, Princeton Univ. Press, 1956, pp. 129–153.
Received: 
08.11.2012
Accepted: 
22.04.2013
Published: 
31.05.2013
Short text (in English):
(downloads: 109)