Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
698172 | Automatica | 2006 | 7 Pages |
Abstract
In this note the stability of a second-order quasi-polynomial with a single delay is studied. Although there is a vast literature on this problem, most available solutions are limited to some particular cases. Moreover, some published results on this subject appear to contain imprecise, or even wrong, conditions. The purpose of this note is to show that by accurate application of known theories, a complete explicit characterization of stability regions can be derived in a most general case. As a byproduct of the proposed analysis, we show that in the high-order case the quasi-polynomial is delay-independent unstable whenever its delay-free version has an odd number of unstable roots (or, equivalently, a negative static gain).
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Efim Malakhovski, Leonid Mirkin,