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dc.contributor.authorPan, W-
dc.contributor.authorWang, Z-
dc.contributor.authorGao, H-
dc.contributor.authorLiu, X-
dc.identifier.citationNonlinear Analysis: Real World Applications, 11(4): 3170-3185, Aug 2010en_US
dc.descriptionThe official published version of the article can be found at the link below.en_US
dc.description.abstractMonostability and multistability are proven to be two important topics in synthesis biology and system biology. In this paper, both monostability and multistability are analyzed in a unified framework by applying control theory and mathematical tools. The genetic regulatory networks (GRNs) with multiple time-varying delays and different types of regulation functions are considered. By putting forward a general sector-like regulation function and utilizing up-to-date techniques, a novel Lyapunov–Krasovskii functional is introduced for achieving delay dependence to ensure less conservatism. A new condition is then proposed for the general stability of a GRN in the form of linear matrix inequalities (LMIs) that are dependent on the upper and lower bounds of the delays. Our general stability conditions are applicable to several frequently used regulation functions. It is shown that the existing results for monostability of GRNs are special cases of our main results. Five examples are employed to illustrate the applicability and usefulness of the developed theoretical results.en_US
dc.description.sponsorshipThis work was supported in part by the Biotechnology and Biological Sciences Research Council (BBSRC) of the U.K. under Grant BB/C506264/1, the Royal Society of the U.K., the National Natural Science Foundation of China under Grants 60504008 and 60804028, the Program for New Century Excellent Talents in Universities of China, and the Alexander von Humboldt Foundation of Germany.en_US
dc.subjectGenetic regulatory networksen_US
dc.subjectLinear matrix inequalityen_US
dc.subjectMultiple time-varying delayen_US
dc.titleMonostability and multistability of genetic regulatory networks with different types of regulation functionsen_US
dc.typeResearch Paperen_US
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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