Title : 
A comment on "On equilibria, stability, and instability of Hopfield neural networks" [and reply]
         
        
        
            Author_Institution : 
Dept. of Comput. Sci., Fudan Univ., Shanghai, China
         
        
        
        
        
            fDate : 
11/1/2000 12:00:00 AM
         
        
        
        
            Abstract : 
It is pointed out that the main analysis results about the existence, uniqueness, and global asymptotic stability of the equilibrium of a continuous-time Hopfield type neural network given in the paper by Zhi-Hong Guan et al. (2000) are special cases of relevant ones previously obtained in the literature. In reply the original authors consider the reasoning of Xue-Bin Liang´s comments and state that their analysis method is in fact different to existing ones.
         
        
            Keywords : 
Hopfield neural nets; asymptotic stability; continuous-time Hopfield type neural network; equilibria; existence; global asymptotic stability; instability; uniqueness; Asymptotic stability; Hopfield neural networks; Integrated circuit interconnections; Mathematics; Neural networks; Neurons; Nonlinear systems; Recurrent neural networks; Sufficient conditions; Symmetric matrices;
         
        
        
            Journal_Title : 
Neural Networks, IEEE Transactions on