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Robust stability for genetic regulatory networks with linear fractional uncertainties. (English) Zbl 1239.92041
Summary: The asymptotic stability analysis problem for a class of delayed genetic regulatory networks (GRNs) with linear fractional uncertainties and stochastic perturbations is studied. By employing a more effective Lyapunov functional and using a lemma to estimate the derivatives of the Lyapunov functional, some new sufficient conditions for the stability problem of GRNs are derived in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are used to demonstrate the usefulness of the main results and less conservatism of the derived conditions.
MSC:
92C42Systems biology, networks
34K20Stability theory of functional-differential equations
15A45Miscellaneous inequalities involving matrices
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