Journal
NEURAL NETWORKS
Volume 49, Issue -, Pages 87-95Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2013.10.002
Keywords
Fractional-order; Neural network; Projective synchronization; Fractional adaptive control
Funding
- Natural Science Foundation of Xinjiang [2013211B06]
- China Postdoctoral Science Foundation funded project [2013M540782]
- Natural Science Foundation of Xinjiang University [BS120101]
- National Natural Science Foundation of People's Republic of China [61164004]
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In this paper, the global projective synchronization of fractional-order neural networks is investigated. First, a sufficient condition in the sense of Caputo's fractional derivation to ensure the monotonicity of the continuous and differential functions and a new fractional-order differential inequality are derived, which play central roles in the investigation of the fractional adaptive control. Based on the preparation and some analysis techniques, some novel criteria are obtained to realize projective synchronization of fractional-order neural networks via combining open loop control and adaptive control. As some special cases, several control strategies are given to ensure the realization of complete synchronization, anti-synchronization and the stabilization of the addressed neural networks. Finally, an example with numerical simulations is given to show the effectiveness of the obtained results. (C) 2013 Elsevier Ltd. All rights reserved.
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