PERTURBATION BOUNDS FOR ROOT-CLUSTERING OF LINEAR DISCRETE-TIME-SYSTEMS

被引：4

作者：

ABDULWAHAB, AAA

机构：

[1] Department of Systems Engineering, King Fahd University of Petroleum and Minerals, Dhahran, 31261

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 1991年 / 22卷 / 10期

关键词：

D O I：

10.1080/00207729108910750

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Sufficient conditions are obtained for the eigenvalues of a discrete-time system to remain in a specified subregion in the unit circle with the centre at the origin in the complex plane in the presence of perturbations. The perturbations are allowed to be non-linear and time varying. Bounds are determined for linear state-space models using the Lyapunov theory. The bounds are derived for both highly and weakly structured perturbations. The results of the structured perturbations are then extended to interval matrices.

引用

页码：1775 / 1783

页数：9

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