Title :
Frequency sweeping tests for asymptotic stability: a model transformation for multiple delays
Author :
Niculescu, Silviu-Iulian ; Chen, Jie
Author_Institution :
Centre de Recherche de Royallieu, Univ. de Technol. de Compiegne, France
Abstract :
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
Keywords :
asymptotic stability; delay-differential systems; discrete systems; linear systems; bounded stability regions; delay-dependent criteria; delay-independent criteria; frequency sweeping tests; linear delay-differential systems; model transformation; multiple discrete delays; stability properties; structured singular values; sufficient conditions; unbounded stability regions; Asymptotic stability; Delay effects; Delay lines; Delay systems; Educational institutions; Frequency; Linear systems; Size control; Stability analysis; Testing;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.833281
