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Finite-time synchronization of fractional-order memristor-based neural networks with time delays.
- Source :
-
Neural Networks . Jan2016, Vol. 73, p36-46. 11p. - Publication Year :
- 2016
-
Abstract
- In this paper, we consider the problem of finite-time synchronization of a class of fractional-order memristor-based neural networks (FMNNs) with time delays and investigated it potentially. By using Laplace transform, the generalized Gronwall’s inequality, Mittag-Leffler functions and linear feedback control technique, some new sufficient conditions are derived to ensure the finite-time synchronization of addressing FMNNs with fractional order α : 1 < α < 2 and 0 < α < 1 . The results from the theory of fractional-order differential equations with discontinuous right-hand sides are used to investigate the problem under consideration. The derived results are extended to some previous related works on memristor-based neural networks. Finally, three numerical examples are presented to show the effectiveness of our proposed theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08936080
- Volume :
- 73
- Database :
- Academic Search Index
- Journal :
- Neural Networks
- Publication Type :
- Academic Journal
- Accession number :
- 111322062
- Full Text :
- https://doi.org/10.1016/j.neunet.2015.09.012