Robust D-decomposition under l p-bounded parametric uncertainties

Author： Tremba A.  

Publisher： MAIK Nauka/Interperiodica

ISSN： 0005-1179

Source： Automation and Remote Control, Vol.67, Iss.12, 2006-12, pp. : 1878-1892

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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.

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