Passivity for coupled quaternion-valued neural networks with multiple derivative couplings

In this paper, a coupled quaternion-valued neural networks (CQVNN) with multiple derivative couplings is introduced, and the passivity problem of such CQVNN is addressed by utilizing the non-separation method. Some quaternion properties are exploited to analyze the passivity for CQVNN, and a quaternion-valued adaptive controller is also devised to guarantee the passivity for such network. Moreover, in light of the obtained passivity results, several synchronization criteria for CQVNN are derived. Finally, two numerical examples exhibit the effectiveness of the obtained synchronization and passivity criteria.