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On the Superstability of an Interval Family of Differential-Algebraic Equations

Авторы: Shcheglova A.A.

Журнал: Automation and Remote Control

Том: 82

Номер: 2

Год: 2021

Отчётный год: 2021

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Местоположение издательства:

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DOI: 10.1134/S0005117921020041

Аннотация: We consider an interval family of differential-algebraic equations (DAE) underassumptions that guarantee the coincidence of the structure of the general solution of each of thesystems in this family with the structure of the general solution of the nominal system. Theanalysis is based on transforming the interval family of DAE to a form in which the differentialand algebraic parts are separated. This transformation includes the inversion of an intervalmatrix. An estimate for the stability radius is found assuming the superstability of the differentialsubsystem of nominal DAE. Sufficient conditions for the robust stability are obtained based on thesuperstability condition for the differential part of the interval family.

Индексируется WOS: Q4

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Нет

Индексируется ВАК: Нет

Индексируется CORE: Нет

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