论文信息 - Convergence of discrete Hopfield neural networks with multiple delays

Convergence of discrete Hopfield neural networks with multiple delays

This paper investigates convergence theorems of (HNNMDs). (The discrete Hopfield network with multiple delays). We have demonstrated how to transform a network with multiple delays to a new network with a single delay. Based on serial rule updating mode, the conditions for convergence of a HNNMDs can be obtained.

Ming Yang | E.C.C. Tsang | Xue-Gang Li | Shen-Shan Qiu

[1] Garrison W. Cottrell,et al. Time-delay neural networks: representation and induction of finite-state machines , 1997, IEEE Trans. Neural Networks.

[2] Jehoshua Bruck. On the convergence properties of the Hopfield model , 1990, Proc. IEEE.

[3] Zongben Xu,et al. Asymmetric Hopfield-type networks: Theory and applications , 1996, Neural Networks.

[4] Dong-Liang Lee. New stability conditions for Hopfield networks in partial simultaneous update mode , 1999, IEEE Trans. Neural Networks.

[5] John J. Hopfield,et al. Neural networks and physical systems with emergent collective computational abilities , 1999 .

[6] Yi Sun. A generalized updating rule for modified Hopfield neural network for quadratic optimization , 1998, Neurocomputing.

[7] Qiu Shen-sha. Matrix Criterion for Dynamic Analysis in Discrete Neural Networks with Delay , 1999 .

[8] G. Pawley,et al. On the stability of the Travelling Salesman Problem algorithm of Hopfield and Tank , 2004, Biological Cybernetics.

[9] Daniel S. Yeung,et al. Stability of discrete Hopfield neural networks with time-delay , 2000, Smc 2000 conference proceedings. 2000 ieee international conference on systems, man and cybernetics. 'cybernetics evolving to systems, humans, organizations, and their complex interactions' (cat. no.0.