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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2006 Issue 12, Pages 21–35 (Mi at1249)

This article is cited in 6 papers

Deterministic Systems

Robust $D$-decomposition under $l_p$-bounded parametric uncertainties

A. A. Tremba

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: Consideration was given to stability of an affine family of uncertain polynomials defined by two real or one complex parameter, the rest of the parameters characterizing indeterminacy. On the plane of family parameters, a domain was established where the uncertain polynomials are stable. The method of robust $D$-decomposition was used. For the cases where the uncertain parameters are real and bounded in the Euclidean norm or are complex and bounded in the $l_p$ norm, expressions for the boundary of these domains were obtained.

PACS: 02.30.Yy, 02.40.-k, 02.40.Hw

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

Received: 19.01.2006


 English version:
Automation and Remote Control, 2006, 67:12, 1878–1892

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