On the analysis of neural networks with asymmetric connection weights or noninvertible transfer functions

Ping Liang, Kaiqi Xiong · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · 1999

This paper extends the energy function to the analysis of the stability of neural networks with asymmetric interconnections and noninvertible transfer functions. Based on the new energy function, stability theorems and convergent criteria are derived which improve the available results in the literature. A simpler proof of a previous result for complete stability is given. Theorems on complete stability of neural networks with noninvertible output functions are presented.

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