Improved Conditions to Passivity of Uncertain Delayed Neural Systems

Xuyang Lou, Baotong Cui, and Qian Ye


Neural network, passivity, timevarying delay, uncertainty, freeweighting matrix, linear matrix inequality


We investigate the passivity problem for delayed neural networks with norm-bounded parameter uncertainties. New delay-dependent conditions ensuring a nominal delayed neural networks to be passive are exploited with the aid of the Leibniz-Newton inequality. These conditions are much less conservative than previous criteria. Finally, one numerical example is presented to show the effectiveness of one proposed criterion.

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