Synchronization and anti-synchronization for complex-valued inertial neural networks with time-varying delays

• DOI: 10.1016/j.amc.2021.126194
• Publication Date: 2021-03-23T16:10:13Z
• Authors: Xiaofeng Wei; Ziye Zhang; Chong Lin; Jian Chen
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

Abstract In this article, synchronization and anti-synchronization problems of complex-valued inertial neural networks with time-varying delays are studied. Firstly, the complex-valued inertial neural networks model is expressed as the first-order complex-valued differential system through the method of variable substitution. Then, via constructing the appropriate Lyapunov functional and using linear matrix inequalities (LMIs) approach, some sufficient conditions to ensure the synchronization and anti-synchronization of the considered system are established. Finally, numerical examples are given to demonstrate the effectiveness of the proposed results.