Open Access Open Access  Restricted Access Subscription or Fee Access

Delay dependent robust stabilization of singular systems with additive time-varying delays

N. Chaibi, E. H. Tissir, A. Hmamed, S. Idrissi


This paper considers the problem of delay-dependent robust stabilization for uncertain singular systems with additive time-varying delays. The purpose of the robust stabilization problem is to design a state feedback controller, such that the resultant closed-loop system is regular, impulse free, and stable for all admissible uncertainties. The results are expressed in terms of linear matrix inequalities (LMIs). Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.


singular systems, additive time-varying delays, linear matrix inequalities (LMIs), stability, robust stabilization, delay-dependent conditions

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.