Global synchronization in finite time for fractional-order neural networks with discontinuous activations and time delays.
Neural Netw
; 94: 46-54, 2017 Oct.
Article
de En
| MEDLINE
| ID: mdl-28750347
ABSTRACT
This paper is concerned with the global Mittag-Leffler synchronization and the synchronization in finite time for fractional-order neural networks (FNNs) with discontinuous activations and time delays. Firstly, the properties with respect to Mittag-Leffler convergence and convergence in finite time, which play a critical role in the investigation of the global synchronization of FNNs, are developed, respectively. Secondly, the novel state-feedback controller, which includes time delays and discontinuous factors, is designed to realize the synchronization goal. By applying the fractional differential inclusion theory, inequality analysis technique and the proposed convergence properties, the sufficient conditions to achieve the global Mittag-Leffler synchronization and the synchronization in finite time are addressed in terms of linear matrix inequalities (LMIs). In addition, the upper bound of the setting time of the global synchronization in finite time is explicitly evaluated. Finally, two examples are given to demonstrate the validity of the proposed design method and theoretical results.
Mots clés
Texte intégral:
1
Collection:
01-internacional
Base de données:
MEDLINE
Sujet principal:
Type d'étude:
Prognostic_studies
Langue:
En
Journal:
Neural Netw
Sujet du journal:
NEUROLOGIA
Année:
2017
Type de document:
Article
Pays d'affiliation:
Chine