Stability Analysis of Time-Delay Systems With Incommensurate Delays Using Positive Polynomials

We present a new stability condition for linear time-delay systems (TDS) with multiple incommensurate delays based on the Rekasius substitution and positive polynomials. The condition is checked by testing the positivity of multivariate polynomials in certain domains. For this purpose, we propose tw...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 2009-05, Vol.54 (5), p.1019-1024
Main Authors: Munz, U., Ebenbauer, C., Haag, T., Allgower, F.
Format: Article
Language:English
Subjects:
Algorithms
Asymptotic stability
Automatic control
Delay
Delay lines
Delay systems
Frequency domain analysis
Incommensurate delays
Linear programming
Polynomials
Rekasius substitution
Stability
Stability analysis
State-space methods
sum of squares
Testing
time-delay systems (TDS)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a new stability condition for linear time-delay systems (TDS) with multiple incommensurate delays based on the Rekasius substitution and positive polynomials. The condition is checked by testing the positivity of multivariate polynomials in certain domains. For this purpose, we propose two alternative algorithms based on linear programming and sum of squares methods, respectively. The efficiency and accuracy of the algorithms is compared in an example to alternative stability conditions taken from the literature.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2009.2017147