Conditions for invertibility and Hurwitz stability


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In a generalization of Fiedler’s theorem, a block condition for the invertibility of an operator and an estimate for the operator matrix of the inverse operator are presented. A block condition for an operator to be Hurwitz is also given, which contains an estimate of the spectral abscissa of the operator.

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A. Perov

Voronezh State University

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Email: anperov@mail.ru
俄罗斯联邦, Voronezh

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