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Abstract: In this paper, we investigate the problem how to establish the robust stability of uncertain gene networks with time-varying delays and noise. Specifically, we consider uncertain gene networks where the regulation occurs at the mRNAs level, and we obtain a sufficient condition for robust stability by Lyapunov method and inequality technique. Moreover, we show that these condition can be formulated as linear matrix inequalities (LMIs), which are easy to be verified by the convex optimization. Finally, two of the most common motifs are investigated to illustrate the effectiveness and the correctness of our results. [Copyright &y& Elsevier]

Abstract This paper is concerned with the problem of pinning synchronization for memristive neural networks with time-varying delays via aperiodic intermittent control. By applying aperiodic intermittent control to partial nodes of the memristive neural networks, some new general criteria for global exponential synchronization are derived based on the theory of nonsmooth analysis. The obtained results indicate that it is the control rates rather than the control periods or control widths are involved in the synchronization criteria. In addition, a feasible region of the control gains and control rates is established for achieving global exponential synchronization. Finally, numerical simulations are given to verify the correctness of our theoretical analysis. [ABSTRACT FROM AUTHOR]