A NEW APPROACH FOR THE ROBUST STABILITY OF PERTURBED SYSTEMS WITH A CLASS OF NONCOMMENSURATE TIME DELAYS

Authors
LEE CH LI THS KUNG FC
Citation
Ch. Lee et al., A NEW APPROACH FOR THE ROBUST STABILITY OF PERTURBED SYSTEMS WITH A CLASS OF NONCOMMENSURATE TIME DELAYS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 40(9), 1993, pp. 605-608
Citations number
20
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on circuits and systems. 1, Fundamental theory andapplications → ACNP
ISSN journal
10577122
Volume
40
Issue
9
Year of publication
1993
Pages
605 - 608
Database
ISI
SICI code
1057-7122(1993)40:9<605:ANAFTR>2.0.ZU;2-J
Abstract
In this paper, based on Lyapunov stability theorem, matrix measure, an d norm inequalities, st new approach for the robust stability of pertu rbed systems with a class of noncommensurate time delays is presented. Two classes of linear parametric perturbations are treated: (1) unstr uctured and (2) highly structured perturbations. Several concise suffi cient conditions, delay-dependent or delay-independent, are proposed t o guarantee the asymptotic stability and positive stability degree of the perturbed multiple time-delay systems. Finally, two numerical exam ples are given to demonstrate the applications of these quantitative r esults.