Synchronization of Interconnected Discontinuous Neural Networks With Nonlinear Coupling Functions

• Main Authors: Zengyun Wang, Xinzhi Liu
• Format: Article
• Language: English
• Published: IEEE 2019-01-01
• Series: IEEE Access
• Subjects: Exponential synchronization; nonlinear coupled neural networks; discontinuous activations; pinning impulsive controller
• Online Access: https://ieeexplore.ieee.org/document/8519622/

Some criteria on exponential synchronization of multiple identical discontinuous neural networks with time delay are given in this paper. Different from the available results, the nodes of complex networks are coupled via nonlinear discontinuous functions. First, we study the existence of Filippov solution of the nonlinear coupled discontinuous neural networks (NCDNNs) based on differential inclusion theory. In addition, we derive some exponential synchronization criteria of the NCDNNs. Finally, we design a pinning impulsive controller to realize the exponential synchronization of NCDNNs. Numerical examples are presented to illustrate the obtained results.