Global synchronization of delay-coupled genetic oscillators
Neurocomputing
Robust state estimation for stochastic genetic regulatory networks
International Journal of Systems Science - Dynamics Analysis of Gene Regulatory Networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on game theory
Robust stability for uncertain genetic regulatory networks with interval time-varying delays
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Mean square exponential stability of stochastic genetic regulatory networks with time-varying delays
Information Sciences: an International Journal
Stability analysis of genetic regulatory networks with mixed time-delays
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part III
Stability of genetic regulatory networks with multiple delays via a new functional
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
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Time delay plays an important role in dynamics of genetic networks and cannot be ignored in the modelling of genetic regulation due to slow biochemical reactions such as gene transcription and translation, and protein diffusion between the cytosol and nucleus. This paper presents a robust analysis approach to asymptotic stability of the delayed genetic regulatory networks (GRNs) with SUM regulatory logic in which each transcription factor acts additively to regulate a gene, i.e., the regulatory function sums over all the inputs. Time delays here are assumed to be time-varying and belong to the given intervals. Based on the Lyapunov stability theory and linear matrix inequality (LMI), sufficient conditions are given to ensure the stability of the GRNs. The obtained conditions are derived in terms of LMIs which are easy to be verified via the LMI toolbox. Illustrative examples are presented to show the effectiveness of the obtained results.