Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses.
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Abstract
Fractional order system is playing an increasingly important role in terms of both theory and applications. In this paper we investigate the global existence of Filippov solutions and the robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses. By means of growth conditions, differential inclusions and generalized Gronwall inequality, a sufficient condition for the existence of Filippov solution is obtained. Then, sufficient criteria are given for the robust generalized Mittag-Leffler synchronization between discontinuous activation function of impulsive fractional order neural network systems with (or without) parameter uncertainties, via a delayed feedback controller and M-Matrix theory. Finally, four numerical simulations demonstrate the effectiveness of our main results.Citation
Pratap, A. et al (2018) 'Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses', Neural Networks, Vol. 103 pp.128-141.Publisher
ElsevierJournal
Neural NetworksDOI
10.1016/j.neunet.2018.03.012Additional Links
http://linkinghub.elsevier.com/retrieve/pii/S0893608018301059Type
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enISSN
08936080ae974a485f413a2113503eed53cd6c53
10.1016/j.neunet.2018.03.012
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