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Fixed time synchronization of octonion valued neural networks with varying time delays
  • subir das,
  • Shiv Chouhan,
  • Umesh Kumar
subir das
Indian Institute of Technology BHU Varanasi

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Shiv Chouhan
Indian Institute of Technology BHU Varanasi
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Umesh Kumar
Indian Institute of Technology BHU Varanasi
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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.