Finite-Time Synchronization of Clifford-Valued Neural Networks With Infinite Distributed Delays and Impulses

Abstract

We study the issue of finite-time synchronization pertaining to a class of Clifford-valued neural networks with discrete and infinite distributed delays and impulse phenomena. Since multiplication of Clifford numbers is of non-commutativity, we decompose the original $n$ -dimensional Clifford-valued drive and response systems into the equivalent $2^{m}$ -dimensional real-valued counterparts. We then derive the finite-time synchronization criteria concerning the decomposed real-valued drive and response models through new Lyapunov-Krasovskii functional and suitable controller as well as new computational techniques. We also demonstrate the usefulness of the results through a simulation example.

Keywords

• Clifford-valued neural networks
• finite-time synchronization
• infinite distributed delay
• Lyapunov-Krasovskii fractional