Stability analysis OS discrete-time recurrently connected neural network

作者: Tianping Chen , Wen Lian Lu

DOI: 10.1109/ICONIP.2002.1202196

关键词:

摘要: In this paper, we discuss dynamics of the discrete-time recurrently asymmetrically connected neural networks (DTRACNN). We propose an effective approach to study global stability networks. give some sufficient conditions for (DRACNN) being exponentially stable. also a bound step size such that iteration converges. As consequence, derive exponential continuous-time (CTRACNN), i.e., systems are controlled by differential equations.

参考文章(22)
Y. Fang, T.G. Kincaid, Stability analysis of dynamical neural networks IEEE Transactions on Neural Networks. ,vol. 7, pp. 996- 1006 ,(1996) , 10.1109/72.508941
J Hopfield John, David W Tank, Computing with neural circuits: a model Science. ,vol. 233, pp. 625- 633 ,(1986) , 10.1126/SCIENCE.3755256
Hugh R. Wilson, Jack D. Cowan, Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons Biophysical Journal. ,vol. 12, pp. 1- 24 ,(1972) , 10.1016/S0006-3495(72)86068-5
H. Sompolinsky, A. Crisanti, H. J. Sommers, Chaos in random neural networks. Physical Review Letters. ,vol. 61, pp. 259- 262 ,(1988) , 10.1103/PHYSREVLETT.61.259
A.N. Michel, J.A. Farrell, W. Porod, Qualitative analysis of neural networks IEEE Transactions on Circuits and Systems. ,vol. 36, pp. 229- 243 ,(1989) , 10.1109/31.20200
Michael A. Cohen, Stephen Grossberg, Absolute stability of global pattern formation and parallel memory storage by competitive neural networks systems man and cybernetics. ,vol. 42, pp. 815- 826 ,(1983) , 10.1109/TSMC.1983.6313075
Morris W. Hirsch, Convergent activation dynamics in continuous time networks Neural Networks. ,vol. 2, pp. 331- 349 ,(1989) , 10.1016/0893-6080(89)90018-X
A. Bhaya, E. Kaszkurewicz, V.S. Kozyakin, Existence and stability of a unique equilibrium in continuous-valued discrete-time asynchronous Hopfield neural networks IEEE Transactions on Neural Networks. ,vol. 7, pp. 620- 628 ,(1996) , 10.1109/72.501720
Tianping Chen, Shun ichi Amari, New theorems on global convergence of some dynamical systems Neural Networks. ,vol. 14, pp. 251- 255 ,(2001) , 10.1016/S0893-6080(00)00100-3