113
Views
2
CrossRef citations to date
0
Altmetric
Section A

On delayed uncertain genetic regulatory networks: robust stability analysis

, &
Pages 2448-2463 | Received 13 Jul 2010, Accepted 01 Dec 2010, Published online: 26 Apr 2011
 

Abstract

In this paper, the problem of stability analysis for uncertain genetic regulatory networks with time-varying delays is investigated. The time-varying delay function in this paper is not required to be either continuously differentiable, or its derivative less than one. By choosing an appropriate Lyapunov–Krasovskii functional and employing some free-weighting matrices, some new delay-dependent and delay-derivative-dependent stability criteria are presented in terms of linear matrix inequality. And the new criteria are applicable to both fast and slow time-varying delays. Finally, three numerical examples are used to demonstrate the usefulness of the main results and less conservativeness of the proposed method.

2000 AMS Subject Classifications :

Acknowledgements

This work is partly supported by the Nature Science Foundation of Chongqing (CSTC, 2009BB2378, 2008BB2199). The authors thank the reviewers and the editor for their helpful comments and valuable suggestions.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.