%0 Journal Article %T Asymptotic Stability of a Delay-Difference Control System of Hopfield Neural Networks via Matrix Inequalities and Applications %A Kreangkri RATCHAGIT %J Walailak Journal of Science and Technology %D 2008 %I Walailak University %R 10.2004/vol5iss2pp191-202 %X 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. %K Hopfield neural networks %K delay-difference control system %K asymptotic stability %K lyapunov function %K matrix inequalities %U http://wjst.wu.ac.th/index.php/wjst/article/view/89