Nonfragile H∞ Synchronization of BAM Inertial Neural Networks Subject to Persistent Dwell-Time Switching Regularity
Hao Yang Shen, Zhengguo Huang, Zheng‐Guang Wu, Jinde Cao, Ju H. Park · IEEE Transactions on Cybernetics · 2021
This article concentrates on the synchronization of discrete-time persistent dwell-time (PDT) switched bidirectional associative memory inertial neural networks with time-varying delays. Through the use of the switched system theory related to the PDT, the convex optimization technique together with some straightforward decoupling methods, an appropriate mode-dependent controller with nonfragility is developed to acclimatize itself to some practical circumstances. Simultaneously, sufficient conditions of ensuring the$\mathcal {H}_{\infty }$performance and exponential stability for the resulting switched synchronization error system are derived. Finally, a numerical example is utilized to show the validity of the model constructed and the influence of the PDT on the$\mathcal {H}_{\infty }$performance. In addition, an image encryption example is employed to show the potential application prospect of the investigated system.