ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)

vol 64 / April, 2021

DOI 10.17586/0021-3454-2018-61-1-5-11

UDC 331.44: 519.2:62.50


N. A. Dudarenko
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor

O. S. Nuyya
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor

M. V. Serzhantova
ITMO University, Saint Petersburg, 197101, Russian Federation; Assistant

A. V. Ushakov
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor

Read the full article 

Abstract. Human-operated multichannel functional system is considered to evaluate the possibility of the system degeneration in respect of the individual-operator as well as in respect of the team of individuals forming the multichannel system. The multichannel functional system dimension is determined by the number of individuals involved; the study is based on descriptions of the individuals’ activities using an additive mathematical model of the process "warming-up — fatigue" during the working half-shift. The causes of degeneration are formulated; technical component and the anthropogetic factor are considered as the main. Method for estimating the degeneration process is based on the use of degeneration functional in relation to the criterion matrix. The matrix is constructed in a diagonal form characterizing the normal functioning of the multichannel system, while the emergence of the off-diagonal elements is considered as one of the reasons for its degeneration. Thus, diagonality of the criterion matrix is a necessary but insufficient condition for preservation of equal-pace functioning of separate channels of the system. Accounting for the interval factor inherent in the human operator allows to control the violation of the synchrony of multichannel system. It is proposed to use the integral representation of degeneration functional, which must contain a multiplicative component considering the possible decline of output of multichannel functional system.
Keywords: human operator, multichannel functional system, degeneration, degeneration factors, degeneration functional, equal-pace functioning of multichannel functional system

  1. Timsit R.S. Proc. IEEE Transac. on Components, Hybrids, and Manufacturing Technology, 1990, no. 1(13), pp. 65–68.
  2. Zude Li, Jun Long. Proc. of the 18th Asia-Pacific Software Engineering Conf., 2011, рp. 242–249.
  3. Lang-Ming Si, Bin Liu, Tong Liu, Lei Li. Proc. of the 3rd Intern. Conf. on Biomedical Engineering and Informatics,2010, рр. 2589–2593.
  4. Parkhomenko P.P., Sogomonyan E.S. Osnovy tekhnicheskoy diagnostiki. Optimizatsiya algoritmov diagnostirovaniya, apparaturnye sredstva (Basics of Technical Diagnostics. Optimization of Algorithms of Diagnosing, Hardware Means), Moscow, 1981, 320 р. (in Russ.)
  5. Wilkinson J.H. The Algebraic Eigenvalue Problem, Oxford, Clarendon Press, 1965.
  6. Wilkinson J.H., Reinsh C. Handbook for Automatic Computation: Linear Algebra, NY, Springer Verlag, 1971.
  7. Voevodin V.V., Kuznetsov Yu.A. Matritsy i vychisleniya (Matrix and Calculations), Moscow, 1984, 320 p. (in Russ.)
  8. GolubG.H., Van Loan Ch.F. Matrix Computations, Johns Hopkins Studies in the Mathematical Sciences, 1996, 728 р.
  9. Gantmacher F.R. The Theory of Matrices, AMS Chelsea Publishing: Reprinted by American Mathematical Society, 2000, 660 р.
  10. Dudarenko N.A., Ushakov A.V. Mehatronika, Avtomatizacia, Upravlenie (Mechatronics, Automation, Control), 2006, no. 3, pp. 2–10. (in Russ.)
  11.  Dudarenko N.A., Slita O.V., Ushakov A.V.Matematicheskie osnovy sovremennoy teorii upravleniya: apparat metoda prostranstva sostoyaniy(Mathematical Foundations of Modern Management Theory: The Apparatus of State-Space Method),St. Petersburg, 2009. (in Russ.)
  12. Serzhantova M.V., Ushakov A.V. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2015, no. 2(15), pp. 329–337. (in Russ.)