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Stability of Differential-Algebraic Equations under Uncertainty

Авторы: Shcheglova A.A., Kononov A.D.

Журнал: Differential Equations

Том: 54

Номер: 7

Год: 2018

Отчётный год: 2018


Местоположение издательства:


Аннотация: We consider a linear time-invariant homogeneous system of first-order ordinary differential equations with a noninvertible matrix multiplying the derivative of the unknown vector function and with perturbed coefficients. We introduce a class of perturbations of the coefficient matrices of the system and determine conditions on the perturbations of this class under which they do not affect the internal structure of the system. We obtain sufficient conditions for the robust stability of the system under such perturbations.

Индексируется WOS: 1

Индексируется Scopus: 1

Индексируется РИНЦ: 0

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