title: Discrete-time analogs for a class of continuous-time recurrent neural networks.
abstract: This paper is concerned with the problem of local and global asymptotic stability for a class of discrete-time recurrent neural networks, which provide discrete-time analogs to their continuous-time counterparts, i.e., continuous-time recurrent neural networks with distributed delay. Some stability criteria, which include some existing results as their special cases, are derived. A discussion about the dynamical consistence of discrete-time neural networks versus their continuous-time counterparts is provided. An unconventional finite difference method is proposed and an example is also given to show the effectiveness of the method.
authors.affiliation: School of Computing Sciences, Faculty of Business and Informatics, Central Queensland University, Rockhampton, Qld 4702, Australia.
authors.forename: Pingzhou
authors.initials: P
authors.lastname: Liu
authors.forename: Qing-long
authors.initials: QL
authors.lastname: Han
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D016571:Neural Networks, Computer; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted