Finite-Time Synchronization of Clifford-Valued Neural Networks With Infinite Distributed Delays and Impulses
Nattakan Boonsatit, Ramalingam Sriraman, Thaned Rojsiraphisal, Chee Peng Lim, Porpattama Hammachukiattikul, Grienggrai Rajchakit · IEEE Access · 2021
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 2m-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.