Stability of perturbed systems with time-varying delays

This paper gives easily verifiable sufficient conditions of robust asymptotic stability of linear time-delay systems subject to parametric unstructured or highly-structured perturbations. The criteria given in this paper are delay-independent or delay-dependent. The considered delay may be time-vary...

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Bibliographic Details
Published inSystems & control letters Vol. 31; no. 3; pp. 155 - 163
Main Authors Goubet-Bartholoméüs, A., Dambrine, M., Richard, J.P.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.08.1997
Elsevier
Subjects
Applied sciences
Automatic
Automatic Control Engineering
Comparison principle
Computer Science
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Dynamical Systems
Engineering Sciences
Exact sciences and technology
M-matrix
Mathematics
Matrix measure
Perturbations
Robust asymptotic stability
Time-varying delay
M-matrix
Robust asymptotic stability
Comparison principle
Perturbations
Time-varying delay
Matrix measure
Asymptotic stability
Delay control systems
M matrix
Perturbation
System stability
Robustness (control systems)
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Summary:This paper gives easily verifiable sufficient conditions of robust asymptotic stability of linear time-delay systems subject to parametric unstructured or highly-structured perturbations. The criteria given in this paper are delay-independent or delay-dependent. The considered delay may be time-varying. An estimation of the transient behaviour of the studied systems is also provided (exponential rate of convergence). Scalar or vectorial inequalities involving Hurwitz matrices, matrix measures and norms constitute the mathematical foundations of the exposed results.
ISSN:0167-6911
1872-7956
DOI:10.1016/S0167-6911(97)00032-7