Asymptotic Stability of a Delay-Difference Control System of Hopfield Neural Networks via Matrix Inequalities and Applications



We have established a new sufficient condition for the asymptotic stability of a delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities (based on a discrete analog of the Lyapunov second method). The result has been applied to obtain new stability conditions for some class of delay-difference control system such as delay-difference control system of Hopfield neural networks with multiple delays in terms of certain matrix inequalities.


Hopfield neural networks, delay-difference control system, asymptotic stability, lyapunov function, matrix inequalities

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Last updated: 13 February 2019