Stochastic Passivity of Uncertain Neural Networks with Time-Varying Delays

Abstract

The passivity problem is investigated for a class of stochastic uncertain neural networks with time-varyingdelay as well as generalized activation functions. By constructing appropriate Lyapunov-Krasovskii functionals,and employing Newton-Leibniz formulation, the free-weighting matrix method, and stochastic analysis technique, adelay-dependent criterion for checking the passivity of the addressed neural networks is established in terms of linearmatrix inequalities (LMIs), which can be checked numerically using the effective LMI toolbox in MATLAB. An examplewith simulation is given to show the effectiveness and less conservatism of the proposed criterion. It is noteworthy thatthe traditional assumptions on the differentiability of the time-varying delays and the boundedness of its derivative areremoved.