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Avtomatika i Telemekhanika, 2006, Issue 8, Pages 92–111 (Mi at1224)  
This article is cited in 96 scientific papers (total in 96 papers)

Adaptive and Robust Systems

Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems

I. G. Vladimirova, Ph. Diamondb, P. E. Kloedenc

a Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b Department of Mathematics, University of Queensland, Brisbane, Australia
c Department of Mathematics, J.-W. Goethe University, Frankfurt am Main, Germany
Full-text PDF (342 kB) Citations (96)
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Abstract: We consider a problem of robust performance analysis of linear discrete time varying systems on a bounded time interval. The system is represented in the state-space form. It is driven by a random input disturbance with imprecisely known probability distribution; this distributional uncertainty is described in terms of entropy. The worst-case performance of the system is quantified by its $a$-anisotropic norm. Computing the anisotropic norm is reduced to solving a set of difference Riccati and Lyapunov equations and a special form equation.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 20.03.2005
English version:
Automation and Remote Control, 2006, Volume 67, Issue 8, Pages 1265–1282
DOI: https://doi.org/10.1134/S0005117906080066
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: I. G. Vladimirov, Ph. Diamond, P. E. Kloeden, “Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems”, Avtomat. i Telemekh., 2006, no. 8, 92–111; Autom. Remote Control, 67:8 (2006), 1265–1282
Citation in format AMSBIB
\Bibitem{VlaDiaKlo06}
\by I.~G.~Vladimirov, Ph.~Diamond, P.~E.~Kloeden
\paper Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems
\jour Avtomat. i Telemekh.
\yr 2006
\issue 8
\pages 92--111
\mathnet{http://mi.mathnet.ru/at1224}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2261511}
\zmath{https://zbmath.org/?q=an:1194.93052}
\transl
\jour Autom. Remote Control
\yr 2006
\vol 67
\issue 8
\pages 1265--1282
\crossref{https://doi.org/10.1134/S0005117906080066}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747677410}
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  • https://www.mathnet.ru/eng/at/y2006/i8/p92
    • This publication is cited in the following 96 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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