6533b825fe1ef96bd1283142

RESEARCH PRODUCT

Stability of genetic regulatory networks with time-varying delay: Delta operator method

Xueying ShaoHamid Reza KarimiQi ZhouJin Zhu

subject

Class (set theory)Stability conditionsComputer Science::Systems and ControlArtificial IntelligenceControl theoryCognitive NeuroscienceFrame (networking)Stability (learning theory)Delta operatorLinear matrixComputer Science ApplicationsMathematics

description

This paper investigates the stability problem for a class of uncertain genetic regulatory networks (GRNs) with time-varying delay via delta operator approach. Both the parameter uncertainty and the generalized activations are considered in the model under study. By constructing an appropriate Lyapunov-Krasovskii functional, the stability and robust stability conditions of GRNs are presented under the delta operator frame. These conditions can be expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is employed to illustrate the effectiveness of the proposed results.

yearjournalcountryeditionlanguage
2015-02-01Neurocomputing
https://doi.org/10.1016/j.neucom.2014.08.025