Open Access Open Access  Restricted Access Subscription or Fee Access

Delay-dependent robust stability of time delay systems with Polytopic-Type uncertainty

S. Idrissi, E. H. Tissir, I. Boumhidi, N. Chaibi


This paper presents a new delay dependent robust stability conditions for linear system with a time-varying delay and polytopic-type uncertainties based on Finsler's lemma and Lyapunov–Krasovskii functional. These conditions, expressed as a set of linear matrix inequalities, require no matrix variable to be fixed for the entire uncertainty polytope, which produces a less conservative stability test result. Numerical examples demonstrate the validity and effectiveness of the proposed criteria.


Delay dependent conditions, robust stability, polytopic type uncertainties.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.