A. A. Kovalev, V. B. Kolmanovskiǐ, L. E. Shaikhet, “The Riccati equations in the stability of stochastic linear systems with delay”, Avtomat. i Telemekh., 1998, no. 10, 35–54; Autom. Remote Control, 59:10 (1998), 1379

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Avtomatika i Telemekhanika, 1998, Issue 10, Pages 35–54 (Mi at2802)

This article is cited in 6 scientific papers (total in 6 papers)

Stochastic Systems

The Riccati equations in the stability of stochastic linear systems with delay

A. A. Kovalev^a, V. B. Kolmanovskiĭ^a, L. E. Shaikhet^b

^a Moscow State Institute of Electronics and Mathematics
^b Donetsk State Academy of Management

Full-text PDF (2067 kB) Citations (6)

Received: 20.11.1997

Bibliographic databases:

Document Type: Article

UDC: 62-505.32

MSC: Primary 34F05; Secondary 60H10

Language: Russian

Citation: A. A. Kovalev, V. B. Kolmanovskiǐ, L. E. Shaikhet, “The Riccati equations in the stability of stochastic linear systems with delay”, Avtomat. i Telemekh., 1998, no. 10, 35–54; Autom. Remote Control, 59:10 (1998), 1379–1394

Citation in format AMSBIB

\Bibitem{KovKolSha98}

\by A.~A.~Kovalev, V.~B.~Kolmanovski{\v\i}, L.~E.~Shaikhet

\paper The Riccati equations in the stability of stochastic linear systems with delay

\jour Avtomat. i Telemekh.

\yr 1998

\issue 10

\pages 35--54

\mathnet{http://mi.mathnet.ru/at2802}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1812980}

\zmath{https://zbmath.org/?q=an:1123.34323}

\transl

\jour Autom. Remote Control

\yr 1998

\vol 59

\issue 10

\pages 1379--1394

Linking options:

https://www.mathnet.ru/eng/at2802

https://www.mathnet.ru/eng/at/y1998/i10/p35

This publication is cited in the following 6 articles:

Castro L.E., Shaikh N.I., “A Mathematical Foundation For Stochastic Opinion Dynamics”, Int. J. Bus. Anal., 6:1 (2019), 20–42
Zong X., Yin G., Wang L.Y., Li T., Zhang J.-F., “Stability of Stochastic Functional Differential Systems Using Degenerate It Lyapunov Functionals and Applications”, Automatica, 91 (2018), 197–207
Yin F., Yu X., “the Stationary Distribution and Extinction of Generalized Multispecies Stochastic Lotka-Volterra Predator-Prey System”, Math. Probl. Eng., 2015, 479326
Kolmanovskii V. Castellanos-Velasco E. Torres-Munoz J., “A Survey: Stability and Boundedness of Volterra Difference Equations”, Nonlinear Anal.-Theory Methods Appl., 53:7-8 (2003), 861–928
Kolmanovskii V. Shaikhet L., “Construction of Lyapunov Functionals for Stochastic Hereditary Systems: a Survey of Some Recent Results”, Math. Comput. Model., 36:6 (2002), 691–716
Kolmanovskii V. Shaikhet L., “Some Peculiarities of the General Method of Lyapunov Functionals Construction”, Appl. Math. Lett., 15:3 (2002), 355–360

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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