New Criteria for Synchronization of Multilayer Neural Networks via Aperiodically Intermittent Control.

Journal: Computational intelligence and neuroscience
PMID:

Abstract

In this paper, the globally asymptotic synchronization of multi-layer neural networks is studied via aperiodically intermittent control. Due to the property of intermittent control, it is very hard to deal with the effect of time-varying delays and ascertain the control and rest widths for intermittent control. A new lemma with generalized Halanay-type inequalities are proposed first. Then, by constructing a new Lyapunov-Krasovskii functional and utilizing linear programming methods, several useful criteria are derived to ensure the multilayer neural networks achieve asymptotic synchronization. Moreover, an aperiodically intermittent control is designed, which has no direct relationship with control widths and rest widths and extends existing aperiodically intermittent control techniques, the control gains are designed by solving the linear programming. Finally, a numerical example is provided to confirm the effectiveness of the proposed theoretical results.

Authors

  • Taiyan Jing
    School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China.
  • Daoyuan Zhang
    Department of Artificial Intelligence and Data Science, Guangzhou Xinhua University, Guangzhou 523133, Guangdong Province, China.
  • Xiaohua Zhang
    Department of Urology, Ruijin Hospital, Shanghai Jiaotong University School of Medicine, Shanghai, P. R. China.