Journal
NEURAL NETWORKS
Volume 35, Issue -, Pages 82-87Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2012.07.009
Keywords
Fractional-order; alpha-exponential stability; alpha-exponential synchronization
Funding
- National Natural Science Foundation of People's Republic of China [61164004]
- Natural Science Foundation of Xinjiang [2010211A07]
- Excellent Doctor Innovation Program of Xinjiang University [XJUBSCX-2011003]
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In this paper, a class of fractional-order neural networks is investigated. First, alpha-exponential stability is introduced as a new type of stability and some effective criteria are derived for such kind of stability of the addressed networks by handling a new fractional-order differential inequality. Based on the results, the existence and alpha-exponential stability of the equilibrium point are considered. Besides, the synchronization of fractional chaotic networks is also proposed. Finally, several examples with numerical simulations are given to show the effectiveness of the obtained results. (C) 2012 Elsevier Ltd. All rights reserved.
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