Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636602 | Applied Mathematics and Computation | 2007 | 11 Pages |
Abstract
In this paper, the robust eigenvalue-clustering in a specified circular region problem (i.e., the robust D-stability problem) of linear discrete singular time-delay systems with structured (elemental) parameter uncertainties is investigated. Under the assumptions that the linear nominal discrete singular time-delay system is regular and causal, and has all its finite eigenvalues lying inside a specified circular region, a new sufficient condition is proposed to preserve the assumed properties when the structured parameter uncertainties are added into the linear nominal discrete singular time-delay system. When all the finite eigenvalues are just required to locate inside the unit circle of the z-plane, the proposed criterion will become the stability robustness criterion. The presented criterion is mathematically proved to be less conservative than the existing ones reported very recently in the literature.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shinn-Horng Chen, Jyh-Horng Chou,