Stability of switched Hopfield neural networks with time-varying delay

This paper considers the asymptotic stability problem for switched Hopfield neural networks with time-varying delay under hysteretic switching rule. The parameter uncertainties are considered and assumed to be norm bounded. Single Lyapunov function method is used to analyze the stability property and design the hysteretic switching rule, which is designed according to current state and the previous value of switched signal. Sufficient conditions are given in terms of linear matrix inequalities (LMIs) to guarantee the stability of the system. An example illustrates the effectiveness of the proposed theory.