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

被引：3
作者：
Shcheglova, A. A. [1 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Matrosov Inst Syst Dynam & Control Theory, Irkutsk 664033, Russia
来源：
AUTOMATION AND REMOTE CONTROL | 2021年 / 82卷 / 02期
关键词：
differential-algebraic equation; interval coefficients; arbitrarily high unsolvability index; robust stability; superstability;
D O I：
10.1134/S0005117921020041
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider an interval family of differential-algebraic equations (DAE) under assumptions that guarantee the coincidence of the structure of the general solution of each of the systems in this family with the structure of the general solution of the nominal system. The analysis is based on transforming the interval family of DAE to a form in which the differential and algebraic parts are separated. This transformation includes the inversion of an interval matrix. An estimate for the stability radius is found assuming the superstability of the differential subsystem of nominal DAE. Sufficient conditions for the robust stability are obtained based on the superstability condition for the differential part of the interval family.
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页码：232 / 244
页数：13
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