Finite Time Stability of Octonion-Valued Neural Networks With Delays
Jingzhu Wang, Xiwei Liu · 2021
In this paper, we study the finite time stability (FTS) of octonion-valued neural networks (OVNNs) with unbounded asynchronous time delays (UADs) by adopting two-phases-method (2PM) and 2-norm. Without employing traditional decomposition method or supposing the terms with delays are bounded, and utilizing a new sign function for octonion, we design the controller with only two terms only depending on the present system state, which can cut down redundancy in calculation and reasoning, and the controller would be much easier to realize in practical situations. Moreover, the adaptive FTS of OVNNs is also realized. Finally, two numerical examples are also given.