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Stability of an Interval Family of Differential-Algebraic Equations

Авторы: Kononov A.D., Shcheglova A.A.

Журнал: Journal of Computer and Systems Sciences International

Том: 59

Номер: 6

Год: 2020

Отчётный год: 2020

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Аннотация: A linear stationary system of differential-algebraic equations of an arbitrarily high unsolvability index with interval coefficients is considered. Sufficient conditions under which the general solution of the perturbed system has the same structure as the solution of the original system are obtained. These conditions are formulated as finite relations to be satisfied by the interval coefficients. Under the assumptions that ensure the preservation of the general solution structure, constructive estimates of the quantity determining the range of uncertainty under which the interval family differential-algebraic equations under examination is robustly stable are obtained. In particular, the robust stability conditions are obtained under the assumption that the original system is superstable.

Индексируется WOS: 1

Индексируется Scopus: 1

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