Neural Netw. 2021 Feb 28;140:336-343. doi: 10.1016/j.neunet.2021.01.017. Online ahead of print.
ABSTRACT
A differential-algebraic neural network (DANN) with delay (DDANN) is proposed. Firstly, the global existence and uniqueness theorems are established for a DDANN, respectively. Next, a new differential-algebraic inequality is established. Then, a theorem on global exponential stability of DDANN is shown by using this inequality. As an application of DDANN, a very concise criterion on global exponential stability for a neutral-type neural network is given by using DDANNs. Finally, two examples are given to illustrate the theoretical results.
PMID:33915455 | DOI:10.1016/j.neunet.2021.01.017
