Abstract
The finite-time passivity and finite-time synchronization issues for two categories of coupled complex-valued memristive neural networks with and without time-varying delay are discussed. First, by selecting a suitable control scheme and exploiting some inequality techniques, several finite-time passivity conditions are proposed for coupled complex-valued memristive neural networks without time-varying delay. Based on the obtained finite-time passivity condition, a criterion for finite-time synchronization for the considered network is also established. Furthermore, for coupled complex-valued memristive neural networks with time-varying delay, some criteria are established to guarantee that the considered network is finite-time passive and finite-time synchronized by developing an appropriate controller and deploying the Lyapunov functional method. Finally, two numerical examples with simulations substantiate the correctness and validity of the results.
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