Robust stability criterion for uncertain neural network with time varying delays

Liyun Yang · Hebei ke-ji daxue xuebao · 2008

This paper considers the problem of robust stability for uncertain neural networks with time varying delays.The uncertainties considered are norm-bounded uncertainties.These unceitainties of system parameters are associated with time,but the norm is restricted in a certain scope,the time delay function is improved with time,and its derivative is less than one.A linear matrix inequality(LMI) approach is developed to derive sufficient conditions ensuring the delayed neural network to have a equilibrium point,which is robustly stable.The proposed LMI conditions can be checked easily by recently developed algorithms.A numerical example is given to illustrate the effectiveness of the developed techniques.

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