Frequency sweeping tests for asymptotic stability a model transformation for multiple delays
Résumé
This paper focuses on stability properties of linear delay-differential systems involving multiple discrete delays. Sufficient conditions for characterizing bounded and unbounded stability regions in the delays-parameter space are derived. The proposed results are expressed in terms of structured singular values and consist of some frequency sweeping tests, which improve (or recover) previous delay-dependent (delay-independent or mixed) criteria from the literature. Comments on the conservatism of the method are also considered. Note that this paper can be seen as completing (into a delay-dependent framework) the contribution of Chen et al.
Mots clés
Algorithms
Approximation theory
Asymptotic stability
Eigenvalues and eigenfunctions
Feedback
Frequency domain analysis
Linear systems
Mathematical models
Mathematical transformations
Delays parameter space
Frequency sweeping tests
Linear delay differential systems
Model transformation
Multiple discrete delays
Delay control systems