Journal
ENTROPY
Volume 17, Issue 10, Pages 7185-7200Publisher
MDPI
DOI: 10.3390/e17107185
Keywords
fractional-order neural network; adaptive control; synchronization
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Funding
- National Natural Science Foundation of China [11401243, 61403157]
- Natural Science Foundation for the Higher Education Institutions of Anhui Province of China [KJ2015A178, KJ2015A256]
- Jiangsu Planned Projects for Postdoctoral Research Funds [1501048B]
- Natural Science Foundation of Anhui Province [1508085QA16]
- Fundamental Research Funds for the Central Universities of China [GK201504002]
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In this paper, synchronization for a class of uncertain fractional-order neural networks subject to external disturbances and disturbed system parameters is studied. Based on the fractional-order extension of the Lyapunov stability criterion, an adaptive synchronization controller is designed, and fractional-order adaptation law is proposed to update the controller parameter online. The proposed controller can guarantee that the synchronization errors between two uncertain fractional-order neural networks converge to zero asymptotically. By using some proposed lemmas, the quadratic Lyapunov functions are employed in the stability analysis. Finally, numerical simulations are presented to confirm the effectiveness of the proposed method.
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