Fixed time synchronization of octonion valued neural networks with varying time delays

Abstract

The present article contains the study of fixed time synchronization of octonion valued neural networks (OVNNs) with time varying delays. Firstly, OVNNs are decomposed into eight real valued systems of equations. Using some lemmas and Lyapunov functional, sufficient criteria have been derived for the fixed time synchronization. Moreover a suitable non-linear controller was created to keep the drive response system in synchronization state. Finally, a numerical example is performed to demonstrate and validate the theoretical findings.