Journal
AIP ADVANCES
Volume 7, Issue 3, Pages -Publisher
AIP Publishing
DOI: 10.1063/1.4978393
Keywords
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Funding
- National Natural Science Foundation of China [11401243]
- Soft Science Research Program of Shanxi Provence [2016041012-3]
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In this study, an adaptive neural network synchronization (NNS) approach, capable of guaranteeing prescribed performance (PP), is designed for non-identical fractional-order chaotic systems (FOCSs). For PP synchronization, we mean that the synchronization error converges to an arbitrary small region of the origin with convergence rate greater than some function given in advance. Neural networks are utilized to estimate unknown nonlinear functions in the closed-loop system. Based on the integer-order Lyapunov stability theorem, a fractional-order adaptive NNS controller is designed, and the PP can be guaranteed. Finally, simulation results are presented to confirm our results. (C) 2017 Author(s).
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