State space method in the identifiability problem of linear nonstationary singularly perturbed systems

被引：0

作者：

Kopeikina, TB ^{[1
]}

Tsekhan, OB

机构：

[1] Byelarussian Acad Sci, Inst Math, Minsk, BELARUS

[2] Kupala State Univ, Grodno 230023, BELARUS

来源：

JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL | 1998年 / 37卷 / 04期

关键词：

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The identifiability problem is studied for linear nonstationary singularly perturbed systems of differential equations by the state space method. We consider the case where the linear combinations of coefficients of an unknown slowly-varied function additively enter the right-hand side of a linear nonstationary singularly perturbed system, a solution to a differential equation with an unknown initial condition. Effective tests that are necessary and sufficient conditions of a rank type for the identifiability of this linear nonstationary singularly perturbed system are obtained in terms of solutions to its algebraic defining equations. An example that illustrates an application of the obtained results is presented.

引用

页码：513 / 522

页数：10