Abstract:
A method was proposed to calculate the anisotropic norm characterizing robustness of the linear discrete-time descriptor systems to random perturbations with uncertain statistical properties. A numerical example was presented.
Citation:
A. A. Belov, A. P. Kurdyukov, “Calculation of the anisotropic norm of the descriptor system”, Avtomat. i Telemekh., 2010, no. 6, 51–63; Autom. Remote Control, 71:6 (2010), 1022–1033
\Bibitem{BelKur10}
\by A.~A.~Belov, A.~P.~Kurdyukov
\paper Calculation of the anisotropic norm of the descriptor system
\jour Avtomat. i Telemekh.
\yr 2010
\issue 6
\pages 51--63
\mathnet{http://mi.mathnet.ru/at829}
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\zmath{https://zbmath.org/?q=an:1218.93048}
\transl
\jour Autom. Remote Control
\yr 2010
\vol 71
\issue 6
\pages 1022--1033
\crossref{https://doi.org/10.1134/S0005117910060044}
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Linking options:
https://www.mathnet.ru/eng/at829
https://www.mathnet.ru/eng/at/y2010/i6/p51
This publication is cited in the following 11 articles:
A. P. Kurdyukov, O. G. Andrianova, A. A. Belov, D. A. Gol'din, “In between the $LQG/H_{2}$- and $H_{\infty }$-control theories”, Autom. Remote Control, 82:4 (2021), 565–618
Chernyshov K.R., “The Anisotropic Norm of Signals: Towards Possible Definitions”, IFAC PAPERSONLINE, 51:32 (2018), 169–174
Chernyshov K.R., “The Anisotropic Norm of Random Vectors: Defining Via a Symmetric Tsallis Divergence”, 2018 IEEE Conference on Control Technology and Applications (Ccta), IEEE, 2018, 970–975
Kirill Chernyshov, 2018 International Russian Automation Conference (RusAutoCon), 2018, 1
Chernyshov K.R., “Remarks on Definitions of the Anisotropic Norm of a Random Vector”, 2017 IEEE II International Conference on Control in Technical Systems (Cts), IEEE, 2017, 263–266
Andrianova O.G., Kurdyukov A.P., Belov A.A., Kustov A.Yu., “Anisotropy-Based Analysis For Descriptor Systems With Nonzero-Mean Input Signals”, 2014 European Control Conference (Ecc), IEEE, 2014, 430–435
Olga Andrianova, “On some anisotropy-based analysis problems for linear discrete-time descriptor systems with nonzero-mean input signals”, S&E BMSTU, 14:04 (2014)
A. A. Belov, “Anisotropic controller design for descriptor systems with respect to the output variable”, Autom. Remote Control, 74:11 (2013), 1838–1850
Alexey Belov, Olga Andrianova, 2013 International Conference on Process Control (PC), 2013, 173
Olga Andrianova, Alexey Belov, 2013 International Conference on Process Control (PC), 2013, 57