α-stability analysis of perturbed systems with multiple noncommensurate time delays

Rong Jyue Wang, Wen June Wang

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

In terms of the fundamental matrix and the Jordan canonical form of the system matrix Ao, a new and simple a-stability criterion for multiple noncommensnrate time-delay systems is proposed. The criterion is sufficient to ensure that all roots of the system's characteristic equation lie to the left of Re.(.i) = -a, a > 0 and is also extended to the delay systems with parametric perturbations. It will be seen that if a is not equal to zero, the corresponding stability criteria depend on the delay time.

Original languageEnglish
Pages (from-to)349-352
Number of pages4
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume43
Issue number4
DOIs
StatePublished - 1996

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