Function projective synchronization of memristor-based Cohen-Grossberg neural networks with time-varying delays.
作者： Abdujelil Abdurahman , Haijun Jiang , Kaysar Rahman
DOI: 10.1007/S11571-015-9352-2
关键词: Function (mathematics) 、 Artificial neural network 、 Memristor 、 Control theory 、 Open-loop controller 、 Differential equation 、 Realization (systems) 、 Projective synchronization 、 Computer science 、 Synchronization (computer science) 、 Theoretical computer science
摘要: This paper deals with the problem of function projective synchronization for a class memristor-based Cohen–Grossberg neural networks time-varying delays. Based on theory differential equations discontinuous right-hand side, some novel criteria are obtained to realize addressed by combining open loop control and linear feedback control. As special cases, several strategies given ensure realization complete synchronization, anti-synchronization stabilization considered network. Finally, numerical example its simulations provided demonstrate effectiveness results.
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sci-hub.se 参考文章(38)
Abdujelil Abdurahman, Haijun Jiang, Zhidong Teng, Finite-time synchronization for memristor-based neural networks with time-varying delays Neural Networks. ,vol. 69, pp. 20- 28 ,(2015) , 10.1016/J.NEUNET.2015.04.015
Shouchuan Hu, Differential Equations with Discontinuous Righthand Sides ,(1988)
Novel LMI-Based Condition on Global Asymptotic Stability for a Class of Cohen–Grossberg BAM Networks With Extended Activation Functions IEEE Transactions on Neural Networks. ,vol. 25, pp. 1161- 1172 ,(2014) , 10.1109/TNNLS.2013.2289855
Yu. S. Ledyaev, P. R. Wolenski, F. H. Clarke, R. J. Stern, Nonsmooth analysis and control theory Springer-Verlag New York, Inc.. ,(1998)
Guodong Zhang, Yi Shen, Leimin Wang, None, Global anti-synchronization of a class of chaotic memristive neural networks with time-varying delays Neural Networks. ,vol. 46, pp. 1- 8 ,(2013) , 10.1016/J.NEUNET.2013.04.001
Abdujelil Abdurahman, Haijun Jiang, Zhidong Teng, Function projective synchronization of impulsive neural networks with mixed time-varying delays Nonlinear Dynamics. ,vol. 78, pp. 2627- 2638 ,(2014) , 10.1007/S11071-014-1614-8
Michael G. Rosenblum, Arkady S. Pikovsky, Jürgen Kurths, Phase synchronization of chaotic oscillators Physical Review Letters. ,vol. 76, pp. 1804- 1807 ,(1996) , 10.1103/PHYSREVLETT.76.1804
Louis M. Pecora, Thomas L. Carroll, Synchronization in chaotic systems Physical Review Letters. ,vol. 64, pp. 821- 824 ,(1990) , 10.1103/PHYSREVLETT.64.821
Guodong Zhang, Yi Shen, New Algebraic Criteria for Synchronization Stability of Chaotic Memristive Neural Networks With Time-Varying Delays IEEE Transactions on Neural Networks. ,vol. 24, pp. 1701- 1707 ,(2013) , 10.1109/TNNLS.2013.2264106
Abdujelil Abdurahman, Haijun Jiang, The existence and stability of the anti-periodic solution for delayed Cohen-Grossberg neural networks with impulsive effects Neurocomputing. ,vol. 149, pp. 22- 28 ,(2015) , 10.1016/J.NEUCOM.2013.09.071