Synchronization of Interconnected Discontinuous Neural Networks With Nonlinear Coupling Functions

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 s...

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Bibliographic Details
Main Authors: Zengyun Wang, Xinzhi Liu
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8519622/
Description
Summary: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.
ISSN:2169-3536