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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimir: 1064-2315
ISSN On-line: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v43.i6.30
pages 30-39

Matrix Formalism of Degeneration Monitoring Problem for Complex Continuous Dynamical Systems under Finite-dimantional Exogenous Actions

Natalya A. Dudarenko
St. Petersburg State University of Information Technologies, Mechanics and Optics (Russia)
Anatoliy V. Ushakov
St. Petersburg State University of Information Technologies, Mechanics and Optics Russia


The problem of monitoring degeneration of complex engineering systems in algebraic formulation is considered. The stated problem is solved quantitatively, using the degeneration functionals, designed on the spectrum of singular numbers of criterial matrices. The methods of designing criterial matrices of complex engineering systems are given.


  1. Dudarenko N.A., Slita O.V., Ushakov A.V., Mathematical foundations of modern control theory: the apparatus of the state space method.

  2. Vlasenko V.A., Miroshnik I.V., Sabinin Yu.A., Ushakov A.V. et al., Control system of a tape drive.

  3. Lavrentyev V.V., Ushakov A.V., On the synthesis of cross-links that provide synchronous operation of parallel-connected units.

  4. Voevodin V.V., Kuznetsov Yu.A., Matrices and computing [in Russian].

  5. Golub G.H., Van Loan C.F., Matrix computations [Russian translation].

  6. Dudarenko N.A., Polyakova M.V., Degeneration control of complex dynamical systems of the creative type with anthropological components.

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