Improved Conditions to Passivity of Uncertain Delayed Neural Systems

Xuyang Lou, Baotong Cui, and Qian Ye


Neural network, passivity, time-varying delay, uncertainty, free-weighting 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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