Alternate control delayed systems

Abstract

In the previous paper (Feng et al. in Adv. Differ. Equ. 2014:305, 2014), we have already used sandwich control to control a system. But when we considered the influence of delay, can sandwich control also be applied in the delayed system? In order to answer this question, we first introduce the alternate delayed system, then we study the exponential stability of delayed chaotic neural networks by means of alternate control. Some sufficient conditions are given in terms of a set of linear matrix inequalities to ensure the exponential stability of the system. Numerical simulations are presented to verify the correction of the obtained results.