Exponential stability of stochastic genetic regulatory networks with interval uncertainties and multiple delays. (English) Zbl 1390.92052
Summary: In this paper, the delay-dependent exponential stability analysis problem for a class of genetic regulatory networks (GRNs) with multiple time-varying delays and interval parameter uncertainties is studied. By employing a new Lyapunov-Krasovskii functional and employing some free-weighting matrices, we derive sufficient delay-dependent conditions ensuring the exponential stability of interval GRNs with multiple time-varying delays and stochastic perturbations in the form of linear matrix inequalities. Finally, three numerical examples are used to demonstrate and verify the advantages of the main results.
Keywords:
genetic regulatory networks; linear matrix inequalities; Lyapunov-Krasovskii functional; stochastic perturbations; interval uncertain systemReferences:
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