∞ synchronization of chaotic Hopfield networks with time-varying delay: a resilient DOF control approach*
Xin Huang, Youmei Zhou, Qingkai 庆凯 Kong 孔, Jianping Zhou, Muyun 木云 Fang 方 · Communications in Theoretical Physics · 2020
Abstract This paper focuses on the issue of resilient dynamic output-feedback (DOF) control for ∞ synchronization of chaotic Hopfield networks with time-varying delay. The aim is to determine a DOF controller with gain perturbations ensuring that the ∞ norm from the external disturbances to the synchronization error is less than or equal to a prescribed bound. A delay-dependent criterion for the ∞ synchronization is derived by employing the Lyapunov functional method together with some recent inequalities. Then, with the help of some decoupling techniques, sufficient conditions on the existence of the resilient DOF controller are developed for both the time-varying and constant time-delay cases. Lastly, an example is used to illustrate the applicability of the results obtained.