Stability and synchronization for Riemann-Liouville fractional-order time-delayed inertial neural networks
作者： Yajuan Gu , Hu Wang , Yongguang Yu
DOI: 10.1016/J.NEUCOM.2019.03.005
关键词: Stability (probability) 、 Derivative 、 Control theory 、 Synchronization 、 Inertial frame of reference 、 Substitution (logic) 、 Computer science 、 Artificial neural network 、 Variable (mathematics)
摘要: … Evidently different from the existing fractional-order neural networks, the fractional-order inertial neural network models are described by the fractional-order differential equations …
sci-hub.se 参考文章(39)
V. Lakshmikantham, J. Vasundhara Devi, S. Leela, Theory of Fractional Dynamic Systems ,(2009)
Hari M Srivastava, Anatoly A Kilbas, Juan J Trujillo, Theory and Applications of Fractional Differential Equations ,(2006)
Zeng-bao Wu, Yun-zhi Zou, Nan-jing Huang, A system of fractional-order interval projection neural networks Journal of Computational and Applied Mathematics. ,vol. 294, pp. 389- 402 ,(2016) , 10.1016/J.CAM.2015.09.007
Jiejie Chen, Zhigang Zeng, Ping Jiang, Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks Neural Networks. ,vol. 51, pp. 1- 8 ,(2014) , 10.1016/J.NEUNET.2013.11.016
Hu Wang, Yongguang Yu, Guoguang Wen, Stability analysis of fractional-order Hopfield neural networks with time delays Neural Networks. ,vol. 55, pp. 98- 109 ,(2014) , 10.1016/J.NEUNET.2014.03.012
Christof Koch, Cable theory in neurons with active, linearized membranes. Biological Cybernetics. ,vol. 50, pp. 15- 33 ,(1984) , 10.1007/BF00317936
K.L. Babcock, R.M. Westervelt, Dynamics of simple electronic neural networks Physica D: Nonlinear Phenomena. ,vol. 28, pp. 305- 316 ,(1987) , 10.1016/0167-2789(87)90021-2
Angela Slavova, Applications of some mathematical methods in the analysis of cellular neural networks Journal of Computational and Applied Mathematics. ,vol. 114, pp. 387- 404 ,(2000) , 10.1016/S0377-0427(99)00277-0
Chao Song, Jinde Cao, Letters: Dynamics in fractional-order neural networks Neurocomputing. ,vol. 142, pp. 494- 498 ,(2014) , 10.1016/J.NEUCOM.2014.03.047
K.L. Babcock, R.M. Westervelt, Stability and dynamics of simple electronic neural networks with added inertia Physica D: Nonlinear Phenomena. ,vol. 23, pp. 464- 469 ,(1986) , 10.1016/0167-2789(86)90152-1