Mittag-Leffler stability of fractional-order Hopfield neural networks
作者： Shuo Zhang , Yongguang Yu , Hu Wang
DOI: 10.1016/J.NAHS.2014.10.001
关键词:
摘要: … perform stability analysis of these systems. Here, we perform Mittag-Leffler stability analysis … help construct Lyapunov functions used to Mittag-Leffler stability analysis of fractional-order …
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Arefeh Boroomand, Mohammad B. Menhaj, Fractional-order hopfield neural networks international conference on neural information processing. pp. 883- 890 ,(2008) , 10.1007/978-3-642-02490-0_108
Hari M Srivastava, Anatoly A Kilbas, Juan J Trujillo, Theory and Applications of Fractional Differential Equations ,(2006)
S. Hayman, The McCulloch-Pitts model international joint conference on neural network. ,vol. 6, pp. 4438- 4439 ,(1999) , 10.1109/IJCNN.1999.830886
Brian N Lundstrom, Matthew H Higgs, William J Spain, Adrienne L Fairhall, Fractional differentiation by neocortical pyramidal neurons. Nature Neuroscience. ,vol. 11, pp. 1335- 1342 ,(2008) , 10.1038/NN.2212
Jiye Zhang, Xuesong Jin, Global stability analysis in delayed Hopfield neural network models Neural Networks. ,vol. 13, pp. 745- 753 ,(2000) , 10.1016/S0893-6080(00)00050-2
K. Moaddy, A.G. Radwan, K.N. Salama, S. Momani, I. Hashim, The fractional-order modeling and synchronization of electrically coupled neuron systems Computers & Mathematics With Applications. ,vol. 64, pp. 3329- 3339 ,(2012) , 10.1016/J.CAMWA.2012.01.005
Juan Yu, Cheng Hu, Haijun Jiang, α -stability and α -synchronization for fractional-order neural networks Neural Networks. ,vol. 35, pp. 82- 87 ,(2012) , 10.1016/J.NEUNET.2012.07.009
Sergio Picozzi, Bruce J. West, Fractional Langevin model of memory in financial markets Physical Review E. ,vol. 66, pp. 046118- 046118 ,(2002) , 10.1103/PHYSREVE.66.046118
Zidong Wang, Yurong Liu, Karl Fraser, Xiaohui Liu, Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays Physics Letters A. ,vol. 354, pp. 288- 297 ,(2006) , 10.1016/J.PHYSLETA.2006.01.061
Hadi Delavari, Dumitru Baleanu, Jalil Sadati, Stability analysis of Caputo fractional-order nonlinear systems revisited Nonlinear Dynamics. ,vol. 67, pp. 2433- 2439 ,(2012) , 10.1007/S11071-011-0157-5