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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2007 Issue 4, Pages 61–66 (Mi at969)

This article is cited in 4 papers

Discrete Systems

On “Superstable” discrete systems

V. M. Kuntsevich

Institute of Space Research, National Academy of Sciences and National Space Agency, Kiev, Ukraine

Abstract: For the class of nonstationary discrete linear systems whose parameters have only multiple estimates, the sufficient condition for their robust stability was obtained on the basis of a discrete analog of the Lyapunov method. If satisfied at each time instant, this condition can be interpreted as the sufficient stability condition for systems with “frozen” coefficients. Robust stability of the stationary systems of the specified class follows from it as a special case.

PACS: 02.30.Yy

Presented by the member of Editorial Board: B. T. Polyak

Received: 12.12.2005


 English version:
Automation and Remote Control, 2007, 68:4, 628–633

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© Steklov Math. Inst. of RAS, 2026