Stability analysis for switched Hopfield neural networks with time delay

This paper considers the asymptotic stability problem for switched Hopfield neural networks with time-varying delay under the hysteretic switching rule. The single and multiple Lyapunov function methods are employed to design the hysteretic switching rule dependent on the current state and previous value of the switching signal. Sufficient conditions are given in terms of linear matrix inequalities to guarantee the stability of such a system. Two examples illustrate the effectiveness of the proposed approaches.