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Volume 24 Issue 5
May  2002
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Xu Bingji, Zhou Lun, Liao Xiaoxin, Liu Xinzhi. Estimation of attraction domain and exponential convergence rate for high order Hopfield type neural networks[J]. Journal of Electronics & Information Technology, 2002, 24(5): 671-677.
Citation: Xu Bingji, Zhou Lun, Liao Xiaoxin, Liu Xinzhi. Estimation of attraction domain and exponential convergence rate for high order Hopfield type neural networks[J]. Journal of Electronics & Information Technology, 2002, 24(5): 671-677.

Estimation of attraction domain and exponential convergence rate for high order Hopfield type neural networks

  • Received Date: 2000-10-16
  • Rev Recd Date: 2001-05-16
  • Publish Date: 2002-05-19
  • In this paper, the locally exponential stability of equilibrium point for a class of high order Hopfield type neural networks is studied by means of Lyapunov function. Some results about estimation of the attraction domain and exponential convergence rate of the network trajectories to equilibrium point of such networks are obtained.
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  • A. Dembo, O. Farotimi, T. Kailath, High-order absolutely stable neural networks, IEEE Trans.on Circuits and Systems, 1991, CAS-38(1), 57-65.[2]E.B. Kosmatopoulos, M. A. Christodoulou, Structural properties of gradient recurrent high-order neural networks, IEEE Trans. on Circuits and Systems II, 1995, CAS-II-42(9), 592-603.[3]E.B. Kosmatopoulos, M. M. Polycarpou, M. A. Christodoulou, P. A. Ioannou, High-order neural network structures for identification of dynamical systems, IEEE Trans. on Neural Networks,1995, NN-6(2), 422-431.[4]T. Zhang, S. S. Ge, C. C. Hang, Neural-based direct adaptive control for a class of general nonlinear systems, International Journal of Systems Science, 1997, 28(10), 1011-1020.[5]J. Su, A. Q. Hu, Z. Y. He, Stability analysis of analogue neural networks, Electronics Letters,1997, 33(6), 506-507.[6]J. Su, A. Hu, Z. He, Solving a kind of nonlinear programming problems via analog neural networks,Neurocomputing, 1998, 18(1), 1-9.[7]关治洪,孙德宝,沈建京,高阶Hopfield型神经网络的定性分析,电子学报,2000,28(3),77-80.[8]廖晓昕,动力系统稳定性理论和应用,北京,国防工业出版社,2000,45-48.[9]梁学斌,吴立德,Hopfield连续联想记忆的吸引域和指数收敛速度的估计及其应用,电子学报,1996,24(1)40-43.
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