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Journal of Automation and Information Sciences

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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v45.i6.40
pages 36-47

Matrix Formalism of the Degeneration Control Problem of Multichannel Dynamical Systems under Vector Stochastic Exogenous Impact of the Colored Noise Type

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

ABSTRACT

The monitoring degeneration control problem for multichannel dynamical systems under vector stochastic impact of the colored noise type in algebraic formulation is considered. The methods of designing the criteria matrices of multichannel systems, which in the case of vector stochastic impact of the colored noise type, are generated in the form of the variances matrix and spectral density matrix of the output of a multichannel dynamical system, are given. The degeneration control algorithms of multichannel dynamical systems both of continuous and discrete nature are proposed.

REFERENCES

  1. Dudarenko N.A., Ushakov A.V. , Matrix formalism of degeneration monitoring problem for complex continuous dynamical systems under finite-dimentional exogenous actions.

  2. Dudarenko N.A., Ushakov A.V. , The technology of quantitative estimate of the tendency of complex systems of the multichannel control to degeneration.

  3. Dudarenko N.A., Ushakov A.V. , The analysis of multichannel dynamical systems: degeneration control technology.

  4. Voevodin V.V., Kuznetsov Yu.A. , Matrices and calculations [in Russia] .

  5. Golub G., van Loan C. , Matrix computations [Russian translation] .

  6. Kwakernaak H., Sivan R. , Linear optimal control systems [Russian translation] .

  7. Ushakov A.V., Dudarenko N.A., Slita O. , The modern theory of multichannel control: the state space technique.